http://www.teachastronomy.com/ Cosmology is the study of the universe, its history, and everything in it. It comes from the Greek root of the word cosmos for order and harmony which reflected the Greek belief that the universe was a harmonious entity where everything worked in concert to
From playlist 22. The Big Bang, Inflation, and General Cosmology
Motivic cohomology actions and the geometry of eigenvarieties - David Hansen
David Hansen Columbia University October 1, 2015 http://www.math.ias.edu/calendar/event/87325/1443731400/1443735000 Venkatesh has recently proposed a fascinating conjecture relating motivic cohomology with automorphic forms and the cohomology of arithmetic groups. I'll describe this conj
From playlist Joint IAS/PU Number Theory Seminar
Dennis Gaitsgory - Tamagawa Numbers and Nonabelian Poincare Duality, II [2013]
Dennis Gaitsgory Wednesday, August 28 4:30PM Tamagawa Numbers and Nonabelian Poincare Duality, II Gelfand Centennial Conference: A View of 21st Century Mathematics MIT, Room 34-101, August 28 - September 2, 2013 Abstract: This will be a continuation of Jacob Lurie’s talk. Let X be an al
From playlist Number Theory
On the semiregularity map of Bloch by Ananyo Dan
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles
From playlist Courses and Series
Sergey Shadrin: Arnold's trinity of algebraic 2d gravitation theories
Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: “Arnold’s trinities” refers to a metamathematical observation of Vladimir Arnold that many interesting mathematical concepts and theories occur in triples, with some
From playlist Noncommutative geometry meets topological recursion 2021
Haluk SENGUN - Cohomology of arithmetic groups and number theory: geometric, ... 2
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
Haluk SENGUN - 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
Simple Group 168 - Sylow Theory - Part 2
Note: Part 5 goes off the rails; I can't just assume the subgroup we choose normalizes H_2 a priori. We can still fix with elementary methods and the occasional lucky break. Fix for Part 5 (2:15) - disregard table: Key to note is that there are no elements of orders 6, 14, or 21 (s
From playlist Abstract Algebra
p-adic approaches to rational points on curves - Poonen - Lecture 3/4 - CEB T2 2019
Bjorn Poonen (Massachusetts Institute of Technology) / 08.07.2019 p-adic approaches to rational points on curves - Lecture 3/4 In these four lectures, I will describe Chabauty's p-adic method for determining the rational points on a curve whose Jacobian has rank less than the genus, hint
From playlist 2019 - T2 - Reinventing rational points
Markoff triples, Nielsen equivalence, and nonabelian level structures - William Chen
Joint Columbia-CUNY-NYU Number Theory Seminar Topic: Markoff triples, Nielsen equivalence, and nonabelian level structures Speaker: William Chen Affiliation: Columbia University Date: March 25, 2021
From playlist Joint Columbia-CUNY-NYU Number Theory Seminar
Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, ... 2
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
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
Differential Isomorphism and Equivalence of Algebraic Varieties Board at 49:35 Sum_i=1^N 2/(x-phi_i(y,t))^2
From playlist Fall 2017
Dark Matter and Galaxy Rotation
Deducing the presence of Dark Matter from the rotational velocities of stars in galaxies.
From playlist Cosmology
Plug your ears! Graph isomorphism, siren of the algebraic seas - Alex Russell
Alex Russell University of Connecticut October 2, 2012 Shor's algorithm, the hallmark quantum algorithmic breakthrough, has been successfully generalized to address a variety of related algebraic problems. Generalizations to nonabelian settings could have striking consequences, but such e
From playlist Mathematics
Philip Boalch - Nonabelian Hodge spaces and nonlinear representation theory
Abstract: The theory of connections on curves and Hitchin systems is something like a “global theory of Lie groups”, where one works over a Riemann surface rather than just at a point. We’ll describe how one can take this analogy a few steps further by attempting to make precise the class
From playlist Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday
Carlos Simpson - Spectral networks and harmonic maps to buildings
This is joint work with L. Katzarkov, A. Noll, and P. Pandit in Vienna. A boundary point of the character variety gives rise to a spectral curve, and a harmonic map to a building. The differential of the harmonic map is the real part of the multivalued tuple of differentials defined over t
From playlist 3e Séminaire Itzykson: Wall crossing in Hitchin integrable systems
What is the modern view of the cosmological constant?
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From playlist Science Unplugged: Cosmology