SYZ conjecture

Johannes Nicaise: The non-archimedean SYZ fibration and Igusa zeta functions - part 1/3

Abstract: The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its

From playlist Algebraic and Complex Geometry

Johannes Nicaise: The non-archimedean SYZ fibration and Igusa zeta functions - part 2/3

Abstract : The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its

From playlist Algebraic and Complex Geometry

Johannes Nicaise: The non-archimedean SYZ fibration and Igusa zeta functions - part 3/3

Abstract : The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its

From playlist Algebraic and Complex Geometry

Exploring Symplectic Embeddings and Symplectic Capacities

Speakers o Alex Gajewski o Eli Goldin o Jakwanul Safin o Junhui Zhang Project Leader: Kyler Siegel Abstract: Given a domain (e.g. a ball) in Euclidean space, we can ask what is its volume. We can also ask when one domain can be embedded into another one without distorting volumes. These

From playlist 2019 Summer REU Presentations

Systolic inequalities - Alexey Balitskiy

Short Talks by Postdoctoral Members Topic: Systolic inequalities Speaker: Alexey Balitskiy Affiliation: Member, School of Mathematics Date: September 28, 2022

From playlist Mathematics

First steps of non-archimedean enumerative geometry - Tony Yue Yu

Short talks by postdoctoral members Topic: First steps of non-archimedean enumerative geometry Speaker: Tony Yue Yu Affiliation: Member, School of Mathematics Date: January 30, 2017 For more video, visit http://video.ias.edu

From playlist Mathematics

Mirror symmetry and cluster algebras – Paul Hacking & Sean Keel – ICM2018

Algebraic and Complex Geometry Invited Lecture 4.15 Mirror symmetry and cluster algebras Paul Hacking & Sean Keel Abstract: We explain our proof, joint with Mark Gross and Maxim Kontsevich, of conjectures of Fomin–Zelevinsky and Fock–Goncharov on canonical bases of cluster algebras. We i

From playlist Algebraic & Complex Geometry

What is the Riemann Hypothesis?

This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation

From playlist Mathematics

Symplectic topology and the loop space - Jingyu Zhao

Topic: Symplectic topology and the loop space Speaker: Jingyu Zhao, Member, School of Mathematics Time/Room: 4:45pm - 5:00pm/S-101 More videos on http://video.ias.edu

From playlist Mathematics

The GM-MDS conjecture - Shachar Lovett

More videos on http://video.ias.edu

From playlist Mathematics

Disk counting via family Floer theory - Hang Yuan

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Disk counting via family Floer theory Speaker: Hang Yuan Affiliation: Stony Brook University Date: May 28, 2021 Given a family of Lagrangian tori with full quantum corrections, the non-archimedean SYZ mirror construc

From playlist Mathematics

Solving SYK - Vladimir Rosenhaus

https://www.sns.ias.edu/quantum-information-workshop-2017/schedule More videos on http://video.ias.edu

From playlist Natural Sciences

Wrapped Fukaya categories of punctured spheres and homological mirror symmetry - Denis Auroux

Denis Auroux UC Berkeley May 9, 2011 For more videos, visit http://video.ias.edu

From playlist Mathematics

Wrapped Floer theory and Homological mirror symmetry for toric Calabi-Yau manifolds - Yoel Groman

Princeton/IAS Symplectic Geometry Seminar Topic: Wrapped Floer theory and Homological mirror symmetry for toric Calabi-Yau manifolds Speaker: Yoel Groman Affiliation: Columbia University Date: October 9, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

The Geometric Langlands conjecture and non-abelian Hodge theory (Lecture 2) by Ron Donagi

Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries

From playlist Quantum Fields, Geometry and Representation Theory

Ihsen Yengui: Algorithms for computing syzygies over VX 1,…,X n, V a valuation ring

The lecture was held within the framework of the Hausdorff Trimester Program: Constructive Mathematics. Abstract: I will present a general algorithm for computing a finite generating set for the syzygies of any finitely generated ideal of V[X_1,...,X_k] (V a valuation domain) which does

From playlist Workshop: "Constructive Mathematics"

Winter School JTP: Homological mirror symmetry for log Calabi-Yau surfaces, Ailsa Keating

Given a log Calabi-Yau surface Y with maximal boundary D, I’ll explain how to construct a mirror Landau-Ginzburg model, and sketch a proof of homological mirror symmetry for these pairs when (Y,D) is distinguished within its deformation class (this is mirror to an exact manifold). I’ll exp

From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"