Representation theory: Introduction
This lecture is an introduction to representation theory of finite groups. We define linear and permutation representations, and give some examples for the icosahedral group. We then discuss the problem of writing a representation as a sum of smaller ones, which leads to the concept of irr
From playlist Representation theory
Exploring Symplectic Embeddings and Symplectic Capacities
Speakers o Alex Gajewski o Eli Goldin o Jakwanul Safin o Junhui Zhang Project Leader: Kyler Siegel Abstract: Given a domain (e.g. a ball) in Euclidean space, we can ask what is its volume. We can also ask when one domain can be embedded into another one without distorting volumes. These
From playlist 2019 Summer REU Presentations
Yankı Lekili: Fukaya categories and their appearance in representation theory (Part 4 of 4)
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory.
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Yankı Lekili: Fukaya categories and their appearance in representation theory (Part 2 of 4)
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory.
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Daniel Pomerleano: Degenerations from Floer cohomology
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: I will explain how, under suitable hypotheses, one can construct a flat degeneration from the symplectic cohomology of log Calabi-Yau varieties to the Sta
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Volodymyr Mazorchuk: Introduction to 2 representation theory (Part 3 of 4)
Please note: Unfortunately the first part of the talk-series is not available due to technical issues. The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. The aim of this series of lectures is to introduce the audie
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Helge Ruddat: Factoring multiplicities of tropical curves
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: Descendant log Gromov-Witten invariants of toric varieties match counts of tropical curves weighted by multiplicities that are obtained as indices of maps
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Volodymyr Mazorchuk: Introduction to 2 representation theory (Part 4 of 4)
Please note: Unfortunately the first part of the talk-series is not available due to technical issues. The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. The aim of this series of lectures is to introduce the audie
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Volodymyr Mazorchuk: Introduction to 2 representation theory (Part 2 of 4)
Please note: Unfortunately the first part of the talk-series is not available due to technical issues. The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. The aim of this series of lectures is to introduce the audie
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Pavel Etingof - "D-modules on Poisson varieties and Poisson traces"
Pavel Etingof delivers a research talk on "D-modules on Poisson varieties and Poisson traces" at the Worldwide Center of Mathematics
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
Ben Webster - Representation theory of symplectic singularities
Research lecture at the Worldwide Center of Mathematics
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
John Cremona: The symplectic type of congruences between elliptic curves
In this talk I will describe a systematic investigation into congruences between the mod $p$ torsion modules of elliptic curves defined over $\mathbb{Q}$. For each such curve $E$ and prime $p$ the $p$-torsion $E[p]$ of $E$, is a 2-dimensional vector space over $\mathbb{F}_{p}$ which carrie
From playlist Number Theory
Equivariant structures in mirror symmetry - James Pascaleff
James Pascaleff University of Illinois at Urbana-Champaign October 17, 2014 When a variety XX is equipped with the action of an algebraic group GG, it is natural to study the GG-equivariant vector bundles or coherent sheaves on XX. When XX furthermore has a mirror partner YY, one can ask
From playlist Mathematics
Singular moduli spaces and Nakajima quiver varieties - Giulia Saccà
Giulia Saccà Member, School of Mathematics October 28, 2014 The aim of this talk is to study a class of singularities of moduli spaces of sheaves on K3 surfaces by means of Nakajima quiver varieties. The singularities in question arise from the choice of a non generic polarization, with r
From playlist Mathematics
The Goldman symplectic form on the Hitchin component by Tengren Zhang
SURFACE GROUP REPRESENTATIONS AND GEOMETRIC STRUCTURES DATE: 27 November 2017 to 30 November 2017 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The focus of this discussion meeting will be geometric aspects of the representation spaces of surface groups into semi-simple Lie groups. Classi
From playlist Surface Group Representations and Geometric Structures
Marcela Hanzer: Adams’ conjecture on theta correspondence
CIRM VIRTUAL EVENT Recorded during the meeting "Relative Aspects of the Langlands Program, L-Functions and Beyond Endoscopy the May 27, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldw
From playlist Virtual Conference
Symplectic geometry of surface group representations - William Goldman
Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Symplectic geometry of surface group representations Speaker: William Goldman Affiliation: Member, School of Mathematics Date: February 28, 2022 If G is a Lie group whose adjoint representation preserves a nondegenerate sy
From playlist Mathematics
On symplectic models, highest derivatives and restriction to SL(2n) of... by Omer Offen
PROGRAM : ALGEBRAIC AND ANALYTIC ASPECTS OF AUTOMORPHIC FORMS ORGANIZERS : Anilatmaja Aryasomayajula, Venketasubramanian C G, Jurg Kramer, Dipendra Prasad, Anandavardhanan U. K. and Anna von Pippich DATE & TIME : 25 February 2019 to 07 March 2019 VENUE : Madhava Lecture Hall, ICTS Banga
From playlist Algebraic and Analytic Aspects of Automorphic Forms 2019
N. Katz - Rigid local systems and (some) finite groups
We will discuss rigid local systems on the affine line in positive characteristic whose monodromy groups are certain finite groups of Lie type.
From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday
Symplectic forms in algebraic geometry - Giulia Saccà
Giulia Saccà Member, School of Mathematics January 30, 2015 Imposing the existence of a holomorphic symplectic form on a projective algebraic variety is a very strong condition. After describing various instances of this phenomenon (among which is the fact that so few examples are known!)
From playlist Mathematics