Unsolved problems in number theory | Conjectures
In mathematics, the Casas-Alvero conjecture is an open problem about polynomials which have factors in common with their derivatives, proposed by Eduardo Casas-Alvero in 2001. (Wikipedia).
Dimitri Zvonkine - On two ELSV formulas
The ELSV formula (discovered by Ekedahl, Lando, Shapiro and Vainshtein) is an equality between two numbers. The first one is a Hurwitz number that can be defined as the number of factorizations of a given permutation into transpositions. The second is the integral of a characteristic class
From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves
Alexander Bufetov - SEMINARI DI ANALISI - April 5, 2018
Centro di Ricerca Matematica Ennio De Giorgi Alexander Bufetov CNRS, Institute de Mathématiques de Marseille and Steklov Mathematical Institute, Moscow Seminari di Analisi 2017/2018 Gabor Szego proved the first version of this theorem when he was 20, and he proved it in a stronger versi
From playlist Centro di Ricerca Matematica Ennio De Giorgi
An introduction to the abc conjecture - Héctor Pastén Vásquez
Members’ Seminar Topic: An introduction to the abc conjecture Speaker: Héctor Pastén Vásquez Date: Monday, March 21 In this talk I will discuss some classical and new applications of the abc conjecture, its relation to conjectures about elliptic curves, and some (admittedly weak) uncon
From playlist Mathematics
Arakelov Theory, Equidistribution and Algebraic Dynamics (Lecture 1) by Jose Ignacio Burgos Gil
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
Arakelov Theory, Equidistribution and Algebraic Dynamics (Lecture 3) by Jose Ignacio Burgos Gil
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
On a quadratic plane by S. M. Bhatwadekar
Algebraic Surfaces and Related Topics PROGRAM URL : http://www.icts.res.in/program/AS2015 DESCRIPTION : This is a joint program of ICTS with TIFR, Mumbai and KIAS, Seoul. The theory of surfaces has been the cradle to many powerful ideas in Algebraic Geometry. The problems in this area
From playlist Algebraic Surfaces and Related Topics
Arakelov Theory, Equidistribution and Algebraic Dynamics (Lecture 5) by Jose Ignacio Burgos Gil
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
Interaction between wall crossing and quiver representations - Man Wai Cheung,
Topic: Interaction between wall crossing and quiver representations Speaker: Man Wai Cheung, Member, School of Mathematics Time/Room: 2:15pm - 2:30pm/S-101 https://www.ias.edu/video/shorttalks/2016/0921-ManWaiCheung
From playlist Mathematics
Thin Groups and Applications - Alex Kontorovich
Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 21, 2016 More videos on http://video.ias.edu
From playlist Analysis and Beyond
“Gauss sums and the Weil Conjectures,” by Bin Zhao (Part 2 of 8)
“Gauss sums and the Weil Conjectures,” by Bin Zhao. The topics include will Gauss sums, Jacobi sums, and Weil’s original argument for diagonal hypersurfaces when he raised his conjectures. Further developments towards the Langlands program and the modularity theorem will be mentioned at th
From playlist CTNT 2016 - ``Gauss sums and the Weil Conjectures" by Bin Zhao
Paul Wedrich: Knots and quivers, HOMFLY and DT
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: Physicists have long been arguing that gauge theories at large rank are related to topolog- ical string theories. As a concrete example, I will describe a
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
The Geometry of Hilbert's 13th problem - Jesse Wolfson
Special Seminar on Hilbert's 13th Problem I Topic: The Geometry of Hilbert's 13th problem Speaker: Jesse Wolfson Affiliation: University of California, Irvine Date: December 5, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
AQC 2016 - Coupled Quantum Fluctuations and Quantum Annealing
A Google TechTalk, June 29, 2016, presented by Layla Hormozi (MIT) ABSTRACT: We study the relative effectiveness of stoquastic and non-stoquastic Hamiltonians consisting of coupled quantum fluctuations compared to Hamiltonians with single spin flips in the performance of quantum annealing.
From playlist Adiabatic Quantum Computing Conference 2016
Arakelov Theory, Equidistribution and Algebraic Dynamics (Lecture 4) by Jose Ignacio Burgos Gil
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
Ptolemy's theorem and generalizations | Rational Geometry Math Foundations 131 | NJ Wildberger
The other famous classical theorem about cyclic quadrilaterals is due to the great Greek astronomer and mathematician, Claudius Ptolemy. Adopting a rational point of view, we need to rethink this theorem to state it in a purely algebraic way, without resort to `distances' and the correspon
From playlist Math Foundations
Admissible heigh pairings of algebraic cycles - Shouwu Zhang
Workshop on Representation Theory and Analysis on Locally Symmetric Spaces Topic: Admissible heigh pairings of algebraic cycles Speaker: Shouwu Zhang Affiliation: Princeton University Date: March 8, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Elliptic curves of rank two and generalised Kato classes - Francesc Castella
Joint IAS/Princeton University Number Theory Seminar Topic: Elliptic curves of rank two and generalised Kato classes Speaker: Francesc Castella Affiliation: Princeton University Date: October 24, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Holomorphic one forms on the Moduli Space of Curves by Gianpietro Pirola
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
Distributional Aspects of Hecke Eigenforms - Raphael Steiner
Short talks by postdoctoral members Topic: Distributional Aspects of Hecke Eigenforms Speaker: Raphael Steiner Affiliation: Member, School of Mathematics Date: October 2, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Arakelov Theory, Equidistribution and Algebraic Dynamics (Lecture 2) by Jose Ignacio Burgos Gil
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