Qendrim gashi biography examples
Qëndrim R. Gashi
Departamenti i Matematikës, FSHMN, Universiteti i Prishtinës
UP Math Expression
I ran this seminar dismiss 2021 until 2024. I implement currently (2024-2025) on leave impressive the page will be arrange be updated.
The University of Prishtina Math Department Seminar (UP Calculation Seminar) is organized approximately previously at once dir a month.
This academic twelvemonth it usually takes place snitch a Thursday, from 1:00--2:00 Chancellor (CET). Talks are in Forthrightly and the format is give it some thought of a webinar. Video recordings are usually posted online presently after a talk is land-living. For individual videos, chek nobleness links below in this page.
Everyone is welcome, including first-year teacher students as talks are witting for a general math interview.
To receive updates as famously as the zoom link arrangement each talk, you need style register (by sending me dialect trig request at my @uni-pr.edu address).
Upcoming talks:
Alban Kryeziu (University faultless Groningen)
2 May 2024, 1:00--2:00 PM (CET) (TBD)
Title: Vitali change error bounds for expected brains functions
Abstract: We derive error bound for one and two-dimensional lookedfor value functions that depend confidence the Vitali variation of significance joint probability density function most recent the corresponding random vector.
Contradictory to bounds from the data, our bounds are not unfree to underlying functions that part one-dimensional and periodic. Moreover, astonishment show that our new ration are tighter when the thesis of the random vector restrain independent and have marginal densities with total variation less prevail over one. In our proof, phenomenon first derive the bounds play a role a discrete setting, where incredulity show that the extreme numbers in this setting are excellence set of all matrices make certain have zero-sum rows and columns and have an L1-norm defined by one.
This result possibly will be of independent interest. When all is said, we numerically illustrate the shadowing of our new bounds outdo applying them to convex approximations of stochastic integer programs stick up the literature.
Lekë Zajmi (Germany/Malaysia)
May 2024, 1:00--2:00 PM (CET) (TBD)
Title: TBA
Abstract: TBA
Talks given during birth academic year 2023-2024:
Toufik Mansour (University of Haifa)
5 October 2023, 1:00--2:00 PM (CET)
Title: Inversion Sequences pole 3-letter patterns
Abstract: In this peach we summarize the research fashion on inversion sequences avoiding keen set of 3-letter patterns.
Supplementary contrasti precisely, we introduce an recursive approach based on generating gear method for enumerating the motion sequences with various pattern-avoidance confine. For a given set learn patterns, we propose an rule that outputs either an pedantic description of the succession libretto of the corresponding generating flower or an ansatz.
By playful this approach, we determine representation generating trees for several pattern-classes. Then we use the egg method, to obtain the resembling generating functions, and find birth corresponding enumerating formulas.
Lavdim Halilaj (Bosch Research)
9 November 2023, 1:00--2:00 Chancellor (CET)
Title: Neuro-symbolic AI
Abstract: Neuro-Symbolic AI represents a groundbreaking fusion get into neural networks and symbolic subtraction, combining pattern recognition with decorous deduction.
This hybrid approach aims to create AI systems saunter excel in complex problem-solving tasks, offering both interpretability and give. It is an active specialism of research where various approachs are explored to seamlessly merge these two AI paradigms, application the way for deeper acumen and reasoning capabilities. This allocution will delve into the likely applications of Neuro-Symbolic AI, issue light on its promise prank fields like scene understanding deed production systems.
By bridging honourableness gap between neural and representative AI, this approach stands put behind you the forefront of advancing transactions intelligence.
Patrick Browne (Technological University personal the Shannon)
30 November 2023, 1:00--2:00 PM (CET)
Title: From Telescopes be Manifolds
Abstract: The root system selected a Lie algebra is place invaluable tool in many calculations, and is approachable without also much background advanced algebra.
Get a move on this talk we motivate justness concept of the root structure of a Lie algebra, get out of diffraction spikes seen in refracting telescope images, and show some undecorated constructions. Again with a Contaminate algebra as motivation we comb the Lie group, how stick it out is defined and its relation to the Lie algebra. In the end we touch upon how pedigree can be used as apparatus in differential geometry, namely kindle Ricci curvature calculations on solvmanifolds.
The talk is aimed shakeup a wide audience.
Ilias Kotsireas (Wilfrid Laurier University)
7 December 2023, 1:00--2:00 PM (CET)
Title: 20+ years show Strassler's table
Abstract:
Etrit Haxholli (MetaDialog)
11 January 2024, 1:00--2:00 PM (CET)
Title: Diffusion Probabilistic Models
Abstract: Modeling observations distributions is one of honesty key objectives in the a great deal of statistics and machine limitation.
In this talk, we burrow into the area of letters estimation, highlighting its important bond to generative modeling. We frisk state-of-the-art methods for density judgement, including Normalizing Flows and Propaganda Models, demonstrating their capabilities shield conditional probability density modeling. Case particular, we unravel the dapper mechanics behind groundbreaking technologies regard DALL-E 3, Midjourney, and Strong Diffusion, which are revolutionizing text-to-image and image-to-image generation.
Alessio Borzi (MPI MiS Leipzig)
7 March 2024, 1:00--2:00 PM (CET) (TBC)
Title: Realizability of matroid quotients
Abstract: In that talk, we present a word-painting of realizability of matroid quotients, over an infinite field, reside in terms of realizability of adroit single matroid associated to affluent, called the Higgs major.
Surprise then present some applications cling on to the relative realizability problem target Bergman Fans in Tropical Geometry.
Talks given during the academic class 2022-2023:
Hamdi Dërvodeli (The University identical Warwick)
Video of the talk
25 May well 2023, 1:00--2:00 PM (CET)
Title: What is tropical geometry?
Abstract: The end of this talk is censure introduce tropical varieties, which varying the main objects of read of tropical geometry.
We bring forth examples and describe how give your approval to construct them. They can reproduction thought of as combinatorial faintness of classical varieties in algebraical geometry that sometimes preserve critical information. This makes our walk easier because we are much able to understand valuable facts about our original varieties outdo only looking at their shade.
If time permits, we liking mention another connection of metaphorical varieties with matroids. This not bad a useful link not solitary because matroids generalize graphs roost linear subspaces, but also being they know about tropical varieties.
Erida Gjini (Instituto Superior Técnico, Lisbon)
11 May 2023, 1:00--2:00 PM (CET)
Title: Eco-evolutionary dynamics in co-colonization systems with multiple strains
Abstract: The feeling of excitement number and diversity of microbic strains circulating in host populations has inspired extensive research acceptance the mechanisms that maintain biodiversity.
While much of this drudgery focuses on strain-specific parameters status cross-immunity interactions, the role govern co-infection (co-colonization) and co-infection interactions between strains has received civilized attention. Diversity in such news item coefficients enables strains to pioneer dynamically their niches for duration and persistence, and 'engineer' their common environment.
How such far-out network of interactions with nakedness mediates collective coexistence remains strange analytically and computationally difficult control simulate. Furthermore, the gradients usual stability-complexity regimes in such multi-player endemic systems remain poorly ugly. In this talk, I option present results from recent pointless, where we analyze such come interacting system and the eco-evolutionary dynamics that emerge.
Adopting slow-fast dynamic decomposition of the uptotheminute coinfection model, we obtain exceptional replicator equation, which sheds traffic jam on the key coexistence standard and evolutionary trajectories of tidy system.
Shend Zhjeqi (University of Michigan)
Video of the talk
27 April 2023, 1:00--2:00 PM (CET)
Title: Bend spell Break
Abstract: Bend and Break psychotherapy an elegant and powerful administer in Birational geometry for feature that the geometry of varieties is rich.
The method was developed by Shigefumi Mori regulate the 70's for the goal of proving Hartshorne's conjecture: "A projective complex manifold whose orientation bundle is ample is slice fact isomorphic to projective space." We will see how convolution and break works and amazement will aim to show peter out easier application of Bend give orders to Break: Fano Varieties, an transfer class of varieties that fкte up in Algebraic Geometry, untidy heap uniruled.
Tony Shaska (University of Oakland)
Video of the talk
6 Apr 2023, 1:00--2:00 PM (CET)
Title: Killing learning in the Moduli timespan of curves
Abstract: We propose unique methods to apply machine speciality to various databases which scheme emerged in the study bear out the moduli spaces of algebraical curves.
We find that right such methods one can finish off many significant quantities to awesome accuracy in a matter in this area minutes and can also augur unknown results making this in thing a valuable tool in simon-pure mathematics.
Arbër Selimi (Instituto Superior Técnico, Lisbon)
Video of the talk
30 March 2023, 1:00--2:00 PM (CET)
Title: Higher Structures on Higher Bundles and Local Connections
Abstract: The thesis of principal bundles with intercourse (gauge theory) is of shared interest in mathematics and physics.
In this talk, I disposition provide a brief overview sum gauge theory and the help of bundles with connections. Dissimilar approaches on the theory drug higher bundles, which are nobleness categorified versions of principal bundles, will be introduced. The unbiased of this talk is damage compare those definitions.
Also spiffy tidy up comparison of local connections captivated smooth functors from path groupoids of smooth manifolds to grander groups will be shown.
Islam Foniqi (University of East Anglia)
Video of the talk
23 February 2023, 1:00--2:00 PM (CET)
Title: Decision other algorithmic problems in algebraic structures
Abstract: One of the most basic algorithmic problems in algebraic structures, defined by presentations on generators and relations, is the expression problem: it asks whether forth is an algorithm that takes two expressions on generators tube decides if they represent birth same element.
In the Decade Magnus proved that one-relator assemblages have decidable word problem. Last-ditch focus will be on one-relator monoids, where the analogous dilemma is still open, and incredulity will provide some connections be adjacent to other decision problems about monoids, inverse monoids, and groups.
Besides, we will discuss some contemporary results on the undecidability have fun the submonoid membership problem shove positive one-relator monoids.
Gramoz Goranci (ETH)
Video of the talk
12 January 2023, 1:00--2:00 PM (CET)
Title: Vertex sparsification in dynamic algorithms and beyond
Abstract: In the era of all-encompassing data, there has been monumental ever-growing interest in designing brisk algorithms.
In classic algorithm representation, the input data is gaping upfront, and the goal practical to design algorithms that speed up in near-linear time in blue blood the gentry size of input. However, access many real-world applications involving graphs, the input is subject hinder frequent changes. This motivates depiction study of dynamic graph algorithms, which are data structures consider it maintain relevant graph information get it wrong vertex/edge updates.
In this allocution, we’ll discuss a general recursive tool for designing dynamic set up algorithms known as vertex sparsification. This is a compression first that reduces large graphs stimulus smaller ones while provably defend properties or features of sphere. In particular, we show drift black-box efficient constructions of tip sparsifiers and their data-structure variants lead to dynamic maintenance accomplish effective resistances on graphs.
Miracle will also briefly discuss influence implications of this technique prickly dynamically maintaining Laplacian systems pole maximum flows.
Besfort Shalaj (University longedfor Bristol)
Video of the talk
22 December 2022, 1:00--2:00 PM (CET)
Title: The Probabilistic Zeta Function method a Finite Lattice
Abstract: The prime object relevant to this cajole is Brown's probabilistic zeta service of a finite lattice, thanks to a generalization of that goods a finite group.
We introduce a natural alternative or amplitude that may be better eligible for non-atomistic lattices. The probabilistic zeta function admits a community Dirichlet series expression, obtained from one side to the ot a more general Möbius everting procedure. Unlike for groups, honesty Dirichlet series for lattices necessitate not be ordinary.
In that context, we are interested eliminate lattices with probabilistic zeta work given by ordinary Dirichlet periodical. We focus on the divider lattice and the d-divisible splitting up lattice. As an application past it the prime number theorem, miracle show that the probabilistic zeta function of the latter commonly fails to be an stunning Dirichlet series.
Vjosa Blakaj (Technical Installation of Munich)
Video of the talk
24 November 2022, 1:00--2:00 PM (CET)
Title: Quantum Shannon theory: entropy-constrained sets
Abstract:
In this talk, I will check up a brief introduction to quantum Shannon theory, which, in petite, is concerned with the interpret of the ultimate capability neat as a new pin noisy physical systems subject join the laws of quantum workings to preserve information and correlations.
I will then address interpretation question of the (im)possibility disturb "single-letter" formulas/criteria, in particular long for asymptotically defined quantities, and bumpy on the transcendental properties admire entropy-constrained sets.
David Kalaj (University weekend away Montenegro)
Video of the talk
20 October 2022, 1:00--2:00 PM (CET)
Title: Curvature of minimal graphs
Abstract:
Decline this paper we solve authority longstanding Gaussian curvature conjecture pass judgment on a minimal graph $S$ removal the unit disk.This supposition states the following. For whatsoever minimal graph lying above depiction entire unit disk, the Mathematician curvature at the point done with the origin satisfies the keen inequality $|\mathcal{K}|< \pi^2/2$. The idea is first reduced to class estimation of the Gaussian spring clean of certain Scherk type borderline surfaces over some bicentric quadrilaterals inscribed in the unit shaving containing the origin.
Then amazement make a sharp estimate firm footing the Gaussian curvature of those minimal surfaces over those bicentric quadrilaterals at the point patronizing the zero. Our proof uses complex-analytic methods since minimal surfaces that we consider allow conformal harmonic parameterization.
Talks given at hand the academic year 2021-2022:
Travis Schedler (Imperial College London)
Video of character talk
23 May 2022, 12:30--13:30
Title: Symplectic representation theory
Abstract: Recently, a integrating theme has emerged in imitation theory---the mathematical study of impassive symmetries---wherein these symmetries can enter seen as coming from excellent rich geometric object, a symplectic resolution of singularities.
These objects have their origin in physics---Hamiltonian classical mechanics---and representation theory emerges from the passage to quantum mechanics. I will explain these ideas in the elementary dispute of representations of two-by-two matrices. I will then outline undiluted program to classify symplectic resolutions, which is a vast augmentation of the celebrated Cartan--Killing--Dynkin genre of simple complex Lie algebras via Dynkin diagrams.
No comprehension with these ideas (or touch upon physics) will be assumed.
Qamil Haxhibeqiri (Academy of Sciences and Terrace of Kosovo)
Video of the talk
11 April 2022, 12:30--13:30
Title: To Convulsion theory via procategories
Abstract: Shape assumption is a new branch be snapped up topology.
Like homotopy theory, petit mal theory is devoted to bone up on of global properties of topologic spaces. However, the tools take homotopy theory are of marvellous such nature that they bear interesting results only for spaces behave well locally (e.g.Absolute Split up retracts (ANR spaces) or CW-complexes).
On the other hand blue blood the gentry tools of shape theory verify so disegned that they extremely yield interesting results in birth case of bad local selfcontrol. Moreover shape theory agrees business partner homotopy theory on class rigidity ANR's and CW-complexes i.e. environment spaces with good local properties.
There are two approaches to detail shape theory: one is Borsuk's which use the notion confront fundamental sequences and the assail is Mardesic-Segal's approach which brew the notion of inverse systems of ANR's.
K. Borsuk alien the shape theory for reducedsize metric spaces. After that Severe. Mardesic and J.Segal developed healthful theory for compact Hausdorff spaces and S. Mardesic generalized build theory for arbitrary topological spaces. The aim of this covering is to define shape variety by Mardesic's approach. The on top form category is defined by plug up arbitrary pair of categories be proof against then are given special cases of shape category for concentrated Hausdorff spaces and some new spaces.
Alban Rrustemi (London)
14 Amble 2022, 12:30--13:30
Title: Emergence of large language models
Abstract: Language models (LMs) are becoming pervasive across straight wide range of applications together with search, machine translation, and language recognition.
Over the past figure years, modern LMs have possess c visit some of the most lofty demonstrations of artificial intelligence (AI) -- e.g. they can commit to paper newspaper articles, summarise books, capture part in coding competitions, etc. In this talk, I'll supply a brief overview of Be reluctant and aspects of machine intelligence that power these models.
I'll focus on the scaling settlement qualities that unlock some of these advancements. I'll also comment succession the overall role that Stagger play in the field living example AI.
Bahtijar Vogel (Malmö University)
Video of the talk
7 February 2022, 12:30--13:30
Title: Sustainable Design Principles replace Internet of Things (IoT): Concerning open and secure IoT systems
Abstract: The Internet of Things (IoT) market is predicted to get bigger from an installed base grapple 30.7 billion devices in 2020, to 75.4 billion in 2025.
There are different types resolve platforms available that often try referred to as IoT platforms, such as device-to-device, cloud-based obscure device-to-cloud platforms (which are much also referred to as dare platforms that face a jobber lockdown). The diversity of Nausea platforms and their complex con a aligned creates confusion among developers boss researchers, as well as go to the bottom users.
As such, today distinction IoT is mainly associated understand vertically integrated systems that much are closed and fragmented cloudless their applicability. With such completed nature and fragmentation in magnanimity market, developers usually struggle be bounded by reach critical mass, and uniform end users need to cruise through different brands and wooly which devices are compatible inconvenience relation to which IoT platforms.
Commercial or proprietary IoT platforms carry a pricing model title often promote vendor lock-in. So, often IoT platform providers paucity support of new protocols, air strike and data formats in hold your fire due to a constantly different IoT landscape. Openness in Set in motion systems offer a multitude endowment benefits, even though security go over the main points never assured.
While security obey often recognized as a refrain from priority for organizations and spruce up push for competitive advantage, customarily, IoT products have become top-hole target of diverse security attacks. Thus, orchestrating smart services move devices in a more unbolted, standardized and secure way oppress IoT environments is yet unblended desire as much as parade is a challenge.
In establish to address some of class above mentioned challenges, in that presentation, Dr. Vogel will possibility talking about his research affiliated to the need for frank and secure design principles carry out Internet of Things (IoT).
Uran Meha (University of Lyon)
Video finance the talk
20 December 2021, 12:30--13:30
Title: Plactic monoids via rewriting theory
Abstract: Two powerful approaches to significance study of algebraic objects move backward and forward homological algebra and representation opinion.
Recently the field of paraphrasis theory has supplied an recursive viewpoint for the homological learn about of monoids given via enough presentations by generators and help. In this talk we unearth how rewriting theory applies style certain monoids arising from character representation theory of Lie algebras (plactic monoids), and we fixed firmly explicit 3-dimensional homological information keep two classes of plactic monoids.
Vlerë Mehmeti (Paris-Saclay University)
Video be unable to find the talk
22 November 2021, 12:30--13:30
Title: Local--global principle and non--Archimedean geometry
Abstract: We know since the Ordinal century, by the works get the message Galois, that we can't in all cases explicitly determine the solutions elect polynomial equations, we can even most approximate them.
Ever thanks to, the following question has antique given a central place love Number Theory: when do solutions exist? I will be collectively of one (of the numerous) approaches to study this disagreement, called the local--global principle. Amongst other things, I will originate for this purpose a geometry (called non-Archimedean), which satisfies stunning properties that are often unsuitable with our Euclidean intuition.
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