Arthur Bartels: K-theory of group rings (Lecture 1)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Arthur Bartels: K-theory of group rings The Farrell-Jones Conjecture predicts that the K-theory of group rings RG can be computed in terms of K-theory of group rings RV where V vari
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Marc Levine: Refined enumerative geometry (Lecture 1)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Marc Levine: Refined enumerative geometry Abstract: Lecture 1: Milnor-Witt sheaves, motivic homotopy theory and Chow-Witt groups We review the Hoplins-Morel construction of the Miln
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Michael Hopkins: Bernoulli numbers, homotopy groups, and Milnor
Abstract: In his address at the 1958 International Congress of Mathematicians Milnor described his joint work with Kervaire, relating Bernoulli numbers, homotopy groups, and the theory of manifolds. These ideas soon led them to one of the most remarkable formulas in mathematics, relating f
From playlist Abel Lectures
Homogeneous spaces, algebraic K-theory and cohomological(...) - Izquierdo - Workshop 2 - CEB T2 2019
Diego Izquierdo (MPIM Bonn) / 24.06.2019 Homogeneous spaces, algebraic K-theory and cohomological dimension of fields. In 1986, Kato and Kuzumaki stated a set of conjectures which aimed at giving a Diophantine characterization of the cohomological dimension of fields in terms of Milnor
From playlist 2019 - T2 - Reinventing rational points
Lecture 7 | String Theory and M-Theory
(November 1, 2010) Leonard Susskind discusses the specifics of strings including Feynman diagrams and mapping particles. String theory (with its close relative, M-theory) is the basis for the most ambitious theories of the physical world. It has profoundly influenced our understanding of
From playlist Lecture Collection | String Theory and M-Theory
P. Scholze - p-adic K-theory of p-adic rings
The original proof of Grothendieck's purity conjecture in étale cohomology (the Thomason-Gabber theorem) relies on results on l-adic K-theory and its relation to étale cohomology when l is invertible. Using recent advances of Clausen-Mathew-Morrow and joint work with Bhatt and Morrow, our
From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday
Edward Witten: "From Gauge Theory to Khovanov Homology Via Floer Theory”
Green Family Lecture Series 2017 "From Gauge Theory to Khovanov Homology Via Floer Theory” Edward Witten, Institute for Advanced Study Abstract: The goal of the lecture is to describe a gauge theory approach to Khovanov homology of knots, in particular, to motivate the relevant gauge the
From playlist Public Lectures
John Milnor - The Abel Prize interview 2011
02:33 Beginnings, Aptitude, "socially maladjusted" 03:40 Putnam, Math. as problem-solving 04:10 First paper (at 18 yo) 06:10 John Nash, Princeton 07:45 games: Kriegspiel, Go, Nash 09:25 game theory 10:35 knot theory, Papakyriakopoulos 15:45 manifolds 17:55 dim. 7 manifolds 20:35 collaborat
From playlist The Abel Prize Interviews
Markus Land - L-Theory of rings via higher categories I
For questions and discussions of the lecture please go to our discussion forum: https://www.uni-muenster.de/TopologyQA/index.php?qa=k%26l-conference This lecture is part of the event "New perspectives on K- and L-theory", 21-25 September 2020, hosted by Mathematics Münster: https://go.wwu
From playlist New perspectives on K- and L-theory
This lecture was held by Abel Laureate John Milnor at The University of Oslo, May 25, 2011 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2011 1. "Spheres" by Abel Laureate John Milnor, Institute for Mathematical
From playlist Abel Lectures
Étienne Ghys: A guided tour of the seventh dimension
Abstract: One of the most amazing discoveries of John Milnor is an exotic sphere in dimension 7. For the layman, a sphere of dimension 7 may not only look exotic but even esoteric... It took a long time for mathematicians to gradually accept the existence of geometries in dimensions higher
From playlist Abel Lectures
Schrodinger Equation Explained - Physics FOR BEGINNERS (can YOU understand this?)
EVEN YOU can understand what this fundamental equation of Physics actually means! Hey you lot, how's it going? I'm back with another Physics video. This time, we're discussing the Schrödinger Equation (yes that's right, Schrödinger of dead/alive cat fame). This equation is the cornerstone
From playlist Quantum Physics by Parth G
Curtis McMullen: Manifolds, topology and dynamics
Abstract: This talk will focus on two fields where Milnor's work has been especially influential: the classification of manifolds, and the theory of dynamical systems. To illustrate developments in these areas, we will describe how topological objects such as exotic spheres and strange at
From playlist Abel Lectures
Lecture 6 | String Theory and M-Theory
(October 25, 2010) Leonard Susskind focuses on the different dimensions of string theory and the effect it has on the theory. String theory (with its close relative, M-theory) is the basis for the most ambitious theories of the physical world. It has profoundly influenced our understanding
From playlist Lecture Collection | String Theory and M-Theory
Patrick Ingram, The critical height of an endomorphism of projective space
VaNTAGe seminar on June 9, 2020. License: CC-BY-NC-SA. Closed captions provided by Matt Olechnowicz
From playlist Arithmetic dynamics
Wolfgang Lück: The Farrell-Jones Conjecture and its applications
Abstract: We give an introduction to the Farrell-Jones Conjecture which aims at the algebraic K- and L-theory of group rings. It is analogous to the Baum-Connes Conjecture about the topological K-theory of reduced group C*-algebras. We report on the substantial progress about the Farrell-J
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Christian Dahlhausen: Improved Milnor K-theory of valuation rings of local fields
The lecture was held within the framework of the Hausdorff Trimester Program : Workshop "K-theory in algebraic geometry and number theory"
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Quantum Gravity and Gravitons: The Search for a Theory of Everything
We've gone through some of the main advancements in modern physics, which brings us to the here and now! What are physicists currently working on? One huge area of interest is developing a quantum field theory for the gravitational force, so that quantum theory can be reconciled with gener
From playlist Modern Physics
Quantum field theory, Lecture 1
*UPDATE* Lecture notes available! https://github.com/avstjohn/qft Many thanks to Dr. Alexander St. John! This winter semester (2016-2017) I am giving a course on quantum field theory. This course is intended for theorists with familiarity with advanced quantum mechanics and statistical p
From playlist Quantum Field Theory
Special geometry on Calabi–Yau moduli spaces and Q-invariant Milnor rings – A. Belavin – ICM2018
Mathematical Physics Invited Lecture 11.2 Special geometry on Calabi–Yau moduli spaces and Q-invariant Milnor rings Alexander Belavin Abstract: The moduli spaces of Calabi–Yau (CY) manifolds are the special Kähler manifolds. The special Kähler geometry determines the low-energy effective
From playlist Mathematical Physics