Algebraic geometry | Unsolved problems in geometry | Conjectures
In algebraic geometry, the Virasoro conjecture states that a certain generating function encoding Gromov–Witten invariants of a smooth projective variety is fixed by an action of half of the Virasoro algebra. The Virasoro conjecture is named after theoretical physicist Miguel Ángel Virasoro. Tohru Eguchi, Kentaro Hori, and Chuan-Sheng Xiongproposed the Virasoro conjecture as a generalization of Witten's conjecture. Ezra Getzler gave a survey of the Virasoro conjecture. (Wikipedia).
Viterbo‘s conjecture for Lagrangian products in ℝ4 - Daniel Rudolf
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Three 20-minute research talks Topic: Viterbo‘s conjecture for Lagrangian products in ℝ4 Speaker: Daniel Rudolf Affiliation: Ruhr-Universität Bochum Date: May 27, 2022 We show that Viterbo‘s conjecture (for the EHZ
From playlist Mathematics
Stéphane Guillermou: On the Viterbo conjecture about Lagrangian spectral norms
CIRM VIRTUAL EVENT Recorded during the meeting "From Hamiltonian Dynamics to Symplectic Topology" the April 26, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematic
From playlist Virtual Conference
Nikos Frantzikinakis: Ergodicity of the Liouville system implies the Chowla conjecture
Abstract: The Chowla conjecture asserts that the signs of the Liouville function are distributed randomly on the integers. Reinterpreted in the language of ergodic theory this conjecture asserts that the Liouville dynamical system is a Bernoulli system. We prove that ergodicity of the Liou
From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi
The Frobenius conjecture in dimension two - Tony Yue Yu
Topic: The Frobenius conjecture in dimension two Speaker: Tony Yue Yu Affiliation: IAS Date: March 16, 2017 For more video, visit http://video.ias.edu
From playlist Mathematics
A tale of two conjectures: from Mahler to Viterbo - Yaron Ostrover
Members' Seminar Topic: A tale of two conjectures: from Mahler to Viterbo. Speaker: Yaron Ostrover Affiliation: Tel Aviv University, von Neumann Fellow, School of Mathematics Date: November 19, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Gromov–Witten Invariants and the Virasoro Conjecture (Remote Talk) by Ezra Getzler
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Gromov–Witten Invariants and the Virasoro Conjecture - II (Remote Talk) by Ezra Getzler
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Gromov–Witten Invariants and the Virasoro Conjecture. III by Ezra Getzler
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Old and New Physics Prospects for q-Virasoro - Nathan Haouzi
IAS High Energy Theory Seminar Topic: Old and New Physics Prospects for q-Virasoro Speaker: Nathan Haouzi Affiliation: Member, School of Natural Sciences, IAS Date: October 22, 2021 q-deformed Virasoro and W-algebras were defined a quarter century ago with the aim of furthering our und
From playlist Natural Sciences
Representation theory of W-algebras and Higgs branch conjecture – Tomoyuki Arakawa – ICM2018
Lie Theory and Generalizations Invited Lecture 7.2 Representation theory of W-algebras and Higgs branch conjecture Tomoyuki Arakawa Abstract: We survey a number of results regarding the representation theory of W-algebras and their connection with the resent development of the four dimen
From playlist Lie Theory and Generalizations
Noah Arbesfeld: A geometric R-matrix for the Hilbert scheme of points on a general surface
Abstract: We explain how to use a Virasoro algebra to construct a solution to the Yang-Baxter equation acting in the tensor square of the cohomology of the Hilbert scheme of points on a generalsurface S. In the special case where the surface S is C2, the construction appears in work of Mau
From playlist Algebraic and Complex Geometry
Wim Veys : Zeta functions and monodromy
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
Entanglement Dynamics in 2d CFT: Thomas Hartman
URL: https://strings2015.icts.res.in/talkTitles.php
From playlist Strings 2015 conference
Quantum representations and higher-rank Prym varieties by Martens Johan
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
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
Andrei Negut: Hilbert schemes of K3 surfaces
Abstract: We give a geometric representation theory proof of a mild version of the Beauville-Voisin Conjecture for Hilbert schemes of K3 surfaces, namely the injectivity of the cycle map restricted to the subring of Chow generated by tautological classes. Although other geometric proofs o
From playlist Algebraic and Complex Geometry
Weil conjectures 4 Fermat hypersurfaces
This talk is part of a series on the Weil conjectures. We give a summary of Weil's paper where he introduced the Weil conjectures by calculating the zeta function of a Fermat hypersurface. We give an overview of how Weil expressed the number of points of a variety in terms of Gauss sums. T
From playlist Algebraic geometry: extra topics
Session 3 - Witten Diagrams Revisited: Holographic Duals of Conformal Blocks: Eric Perlmutter
https://strings2015.icts.res.in/talkTitles.php
From playlist Strings 2015 conference