Congratulations to Math & Stats Professor Fady Alajaji, for being awarded the Faculty of Engineering and Applied Science Leadership in Teaching Award for 2022. This award recognizes your outstanding contributions to the teaching and learning environment in 黑料吃瓜资源 Engineering.
Start Date
Wednesday August 10, 2022End Date
Thursday August 11, 2022Time
8:00 am - 9:00 pmLocation
Queen's University, Kingston, ON, CanadaAugust 10th-11th, 2022
Date
Monday March 28, 2022Location
Online via ZoomMonday, March 28th, 2022
Time: 4:30 p.m. Place: Online via Zoom (contact Kaveh Mousavand for Zoom link)
Speaker: Magdalena Boos (Ruhr-Universit盲t Bochum)
Title: Symmetric quiver representations and degenerations.
Abstract: The notion of a symmetric quiver was first introduced by Derksen and Weyman in 2002. Symmetric quiver representations are collected in so-called symmetric representation varieties which are acted on by reductive groups via change of basis. We are interested in the orbits and their closures of said actions. Orbit closure relations lead us to considering symmetric degenerations for which one of the most important questions is: are symmetric degenerations induced by 鈥渦sual鈥 degenerations in the representation variety of the underlying quiver? We look at (counter)examples and recent results. This is joint work with G. Cerulli Irelli.
Website details here:
Date
Monday March 21, 2022Location
Online via ZoomMonday, March 21st, 2022
Time: 4:30 p.m. Place: Online via Zoom (contact Kaveh Mousavand for Zoom link)
Speaker: Marco Antonia Armenta (Universit茅 de Sherbrooke)
Title: Double framed moduli spaces of quiver representations and applications to neural networks.
Abstract: I will present an introduction to the study of neural networks using double framed quiver representations and show why it is important for these applications to understand the structure of moduli spaces of these types of representations. I will give both a linear algebra description and a representation-theoretic description of these moduli spaces and then show that the output of a neural network depends only on the corresponding point in the moduli space. There is no need to know anything about neural networks to follow this talk as I will give you all the necessary definitions.
Website details here:
Date
Monday March 14, 2022Location
Jeffery Hall Room 222 or Online via ZoomMonday, March 14th, 2022
Time: 11:00 a.m. Place: Jeffery Hall Room 222, or Online via Zoom (contact Deepanshu Prasad for Zoom link)
Speaker: Cody Roth
Title: Structure of Orlik Solomon Algebra for Central Arrangements
Abstract: We will show that given any nonempty central arrangement, the $\mathcal{K}$-linear boundary map on $\mathcal{E}$, the exterior algebra formed from the arrangement, can be naturally defined on the corresponding Orlik-Solomon algebra $\mathcal{A}$, and this definition gives an acyclic chain complex $(\mathcal{A}, \partial)$. We also show how $\mathcal{A}$ can be decomposed into a direct sum indexed via the intersection poset of the arrangement.
Date
Monday March 14, 2022Location
Online via ZoomMonday, March 14th, 2022
Time: 4:30 p.m. Place: Online via Zoom (contact Kaveh Mousavand for Zoom link)
Speaker: Lleonard Rubio (University of Verona)
Title: Maximal tori in $HH^1$ and the homotopy theory of bound quivers.
Abstract: Hochschild cohomology is a fascinating invariant of an associative algebra which possesses a rich structure. In particular, the first Hochschild cohomology group $HH^1(A)$ of an algebra $A$ is a Lie algebra, which is a derived invariant and, among self-injective algebras, an invariant under stable equivalences of Morita type. This establishes a bridge between finite dimensional algebras and Lie algebras, however, aside from few exceptions, fine Lie theoretic properties of $HH^1(A)$ are not often used. In this talk, I will show some results in this direction. More precisely, I will explain how maximal tori of $HH^1(A)$, together with fundamental groups associated with presentations of A, can be used to deduce information about the shape of the Gabriel quiver of $A$. In particular, I will show that every maximal torus in $HH^1(A)$ arises as the dual of some fundamental group of $A$. By combining this, with known invariance results for Hochschild cohomology, I will deduce that (in rough terms) the largest rank of a fundamental group of A is a derived invariant quantity, and among self-injective algebras, an invariant under stable equivalences of Morita type. Time permitting, I will also provide various applications to semimonomial and simply connected algebras.
This is joint work with Benjamin Briggs.
Website details here:
Date
Friday March 11, 2022Location
Online (via Zoom)
Friday, March 11th, 2022
Time: 2:30 p.m. Place: Online (via Zoom)
Speaker: Fabio Pusateri (University of Toronto)
Title: Some recent results on PDEs with potentials and the stability of kinks
Abstract: This talk will be an overview of some recent results on nonlinear evolution equations with large potentials, and applications to the stability of kinks, as well as to the phenomenon of ``radiation damping". Our approach to this class of problems is based on the use of the Fourier transform adapted to the Schrodinger operator, and the development of multilinear harmonic analysis in this setting.
Fabio Pusateri is an Assistant Professor in Department of Mathematics at the University of Toronto. His main research interests are analysis of nonlinear PDEs, dispersive and wave equations, fluid dynamics, harmonic analysis, and hamiltonian dynamics. He receives many awards, including Coxeter-James prize (2022), the Antonio Ambrosetti Medal (2021), and the ISAAC award (2019).
Date
Monday March 7, 2022Location
Online via ZoomMonday, March 7th, 2022
Time: 11:00 a.m. Place: Online via Zoom (contact Deepanshu Prasad for Zoom link)
Speaker: Sonja Ruzic (Queen's University)
Title: Construction of the Orlik-Solomon Algebra
Abstract: We consider a central arrangement $\mathcal{A}$ and commutative ring $\mathcal{K}$. We will construct a graded anticommutative algebra $A(\mathcal{A})$ associated to $\mathcal{K}$ called the Orlik-Solomon algebra and study its structure.
Date
Monday March 7, 2022Location
Online via ZoomMonday, March 7th, 2022
Time: 4:30 p.m. Place: Online via Zoom (contact Kaveh Mousavand for Zoom link)
Speaker: Yarian Diaz (University of Iowa)
Title: Stability Functions for Dynkin Quivers and Almost Split Sequences.
Abstract: We provide an efficient criterion for determining which stability functions make all indecomposable representations of a Dynkin quiver Q stable. By definition this requires considering an inequality for each pair consisting of one indecomposable representation of Q and one of its proper, non-zero subrepresentations. We use Auslander-Reiten theory to significantly reduce the number of inequalities down to one inequality for each almost split sequence with indecomposable middle term.
Website details here:
Date
Friday March 4, 2022Location
Online (via Zoom)
Friday, March 4th, 2022
Time: 2:30 p.m. Place: Online (via Zoom)
Speaker: Dimitar Grantcharov (University of Texas at Arlington)
Title: Weight representations of Lie algebras
Abstract: Weight representations are representations that decompose as direct sums of weight spaces. Examples of weight representations include highest weight representations, in particular, finite-dimensional representations. In this talk we will discuss the recent progress in the study of categories of weight representations over complex finite-dimensional Lie algebras and Lie algebras of vector fields. The talk is based on joint works with V. Serganova.
Dimitar Grantcharov is a Full Professor in the Department of Mathematics at the University of Texas Arlington. He received his Ph.D. in mathematics from University of California, Riverside in 2003. His research is in the areas of representations of Lie algebras and superalgebras.
