SL2(R)

A spectral gap in SL2(ℝ)SL2(R) and applications: expansion, Furstenberg measures... - Jean Bourgain

Analysis Math-Physics Seminar Topic:A spectral gap in SL2(ℝ)SL2(R) and applications: expansion, Furstenberg measures and the Anderson-Bernoulli model Speaker: Jean Bourgain Affiliation: IBM von Neumann Professor, School of Mathematic Affiliation: Member, School of Mathematics Date: Novemb

From playlist Mathematics

The Fundamental Domain | The Geometry of SL(2,Z), Section 1.2

The fundamental domain for SL(2,Z) on the complex upper half plane is described, with proof. We also derive the stabilizers of the action, and provide generators for SL(2,Z). My Twitter: https://twitter.com/KristapsBalodi3 Description of the Fundamental Domain:(0:00) Statement of Main T

From playlist The Geometry of SL(2,Z)

Cloud Computing: SLAs & Scalability - Part 2

From playlist Archive - Cloud Computing

A Group Theoretic Description | The Geometry of SL(2,Z), Section 2.1

Expressing the complex upper half plane as a quotient of topological (in fact, Lie) groups. Twitter: https://twitter.com/KristapsBalodi3 Topological Groups (0:00) A Lemma on Stabilization (7:19) Connecting Geometry and Algebra (9:55)

From playlist The Geometry of SL(2,Z)

A spectral gap in SL2(R)SL2(R) and applications - Jean Bourgain

Jean Bourgain Institute for Advanced Study; Faculty, School of Mathematics November 13, 2013 For more videos, visit http://video.ias.edu

From playlist Mathematics

Space Launch System Scale and Power (Animation) (version 1)

Animation depicting NASA’s Space Launch System, the world's most powerful rocket for a new era of human exploration beyond Earth’s orbit. With its unprecedented capabilities, SLS will launch astronauts in the agency’s Orion spacecraft on missions to explore multiple, deep-space destination

From playlist Space Launch System Playlist

SLS Artemis I Launch Animation

Animation depicting NASA’s Space Launch System, the world's most powerful rocket for a new era of human exploration beyond Earth’s orbit. With its unprecedented capabilities, SLS will launch astronauts in the agency’s Orion spacecraft on missions to explore multiple, deep-space destination

From playlist RS-25 Playlist

The SL(2,ℝ) action on moduli space - Alex Eskin

https://www.math.ias.edu/seminars/abstract?event=47564

From playlist Members Seminar

Mobius Transformations | The Geometry of SL(2,Z), Section 1.1

The first of 3 videos describing a beautiful geometric action of the group of 2x2 integer matrices of determinant 1. These ideas lay the groundwork for understanding the moduli space of complex elliptic curves, and the definition of modular forms. My Twitter: https://twitter.com/Kristaps

From playlist The Geometry of SL(2,Z)

A nonabelian Brunn-Minkowski inequality - Ruixiang Zhang

Members’ Seminar Topic: A nonabelian Brunn-Minkowski inequality Speaker: Ruixiang Zhang Affiliation: University of Wisconsin-Madison; Member, School of Mathematics Date: January 25, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

Holomorphic Curves in Compact Quotients of SL(2,C) by Sorin Dumitrescu

DISCUSSION MEETING TOPICS IN HODGE THEORY (HYBRID) ORGANIZERS: Indranil Biswas (TIFR, Mumbai, India) and Mahan Mj (TIFR, Mumbai, India) DATE: 20 February 2023 to 25 February 2023 VENUE: Ramanujan Lecture Hall and Online This is a followup discussion meeting on complex and algebraic ge

From playlist Topics in Hodge Theory - 2023

The congruence subgroup property for SL(2,Z) - William Yun Chen

Arithmetic Groups Topic: The congruence subgroup property for SL(2,Z) Speaker: William Yun Chen Affiliation: Member, School of Mathematics Date: November 10, 2021 Somehow, despite the title, SL(2,Z) is the poster child for arithmetic groups not satisfying the congruence subgroup property

From playlist Mathematics

R-matrices - Elijah Bodish

Quantum Groups Seminar Topic: R-matrices Speaker: Elijah Bodish Affiliation: University of Oregon Date: February 18, 2021 For more video please visit http://video.ias.edu

From playlist Quantum Groups Seminar

Etale Theta - Part 01 - The Bogomolov-Zhang Proof of Geometric Szpiro

Here we give the proof of Geometric Szpiro which has some analogies to the methods used in the IUT papers.

From playlist Etale Theta

Richard Hain - 4/4 Universal mixed elliptic motives

Prof. Richard HAIN (Duke University, Durham, USA) Universal mixed elliptic motives are certain local systems over a modular curve that are endowed with additional structure, such as that of a variation of mixed Hodge structure. They form a tannakian category. The coordinate ring of its fu

From playlist Richard Hain - Universal mixed elliptic motives

Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, ... 1

In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly

From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory

Lie groups: Introduction

This lecture is part of an online graduate course on Lie groups. We give an introductory survey of Lie groups theory by describing some examples of Lie groups in low dimensions. Some recommended books: Lie algebras and Lie groups by Serre (anything by Serre is well worth reading) Repre

From playlist Lie groups

Lefschetz operators, Hodge-Riemann forms, and representations - Peter Fiebig

From playlist Seminar on Geometric and Modular Representation Theory

IP

This is CS50

From playlist CS50 Sections 2015

Eugene Gorsky - Algebra and Geometry of Link Homology 3/5

Khovanov and Rozansky defined a link homology theory which categorifies the HOMFLY-PT polynomial. This homology is relatively easy to define, but notoriously hard to compute. I will discuss recent breakthroughs in understanding and computing Khovanov-Rozansky homology, focusing on connecti

From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory