2014

Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry

Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry Organized by John Morgan and Dennis Sullivan October 1, 2014 – June 30, 2015 While activities will depend on the visitors for their specific focus, we expect them to be organized around several general themes: (i) rigorous approaches to perturbative quantum field theories, and especially to gauge theories … Read more

Geometric Flows

Geometric Flows Organized by Simon Brendle, Xiuxiong Chen,  Simon Donaldson, and Yuanqi Wang October 13 – December 19, 2014 Since its invention in 1982, Hamilton’s Ricci flow has become a central tool in global differential geometry. In particular, the Ricci flow has played a central role in Perelman’s proof of the Poincare conjecture, as well as … Read more

Gauge Theory, Integrability, and Novel Symmetries of Quantum Field Theory

Gauge Theory, Integrability, and Novel Symmetries of Quantum Field Theory Organized by Anton Kapustin, Nikita Nekrasov, Samson Shatashvili, Volker Schomerus, and Konstantin Zarembo September 2 – December 19, 2014 The interplay between the supersymmetric gauge theories and (non-supersymmetric) integrable theories in various dimensions is a puzzling development of several decades of research. In recent years … Read more

Exponential Integrals Part II: Seminar by Maxim Kontsevich

Title: Exponential Integrals Speaker:  Maxim Kontsevich Date: Tuesady, August 19, 2014 Time: 2:00pm-3:15pm Place: Auditorium 103, Simons Center [box, type=”download”]Watch the video.[/box] Abstract: I’ll discuss general properties of integrals of exponents of polynomial functions on complex algebraic varieties, and infinite-dimensional generalizations. In particular, I’ll give a new interpretation of the solution of Hitchin equation as semi-infinite cohomology.

Exponential Integrals Part I: Seminar by Maxim Kontsevich

Title: Exponential Integrals Speaker:  Maxim Kontsevich Date: Tuesady, August 19, 2014 Time: 11:00am-12:15pm Place: Auditorium 103, Simons Center [box, type=”download”]Watch the video.[/box] Abstract: I’ll discuss general properties of integrals of exponents of polynomial functions on complex algebraic varieties, and infinite-dimensional generalizations. In particular, I’ll give a new interpretation of the solution of Hitchin equation as semi-infinite cohomology.

G2 Manifolds

G2 Manifolds Organized by Mark Haskins, Dietmar Salamon, and Simon Donaldson August 18 – October 3, 2014 This program seeks to connect recent developments and open questions in the theory of compact manifolds with special or exceptional holonomy (especially G_2 manifolds) with other areas of mathematics and theoretical physics: differential topology, algebraic geometry, (non compact) Calabi-Yau … Read more

Mathematical Problems in General Relativity: January 19 – 23, 2015

Organized by Philippe LeFloch, Mike Anderson, Sergiu Klainerman, and Jared Speck Dates: January 19 – 23, 2015 Einstein’s field equation of general relativity is one of the most important geometric partial differential equations. Over the past decade, the mathematical research on Einstein equation has made spectacular progress on many fronts, including the Cauchy problem, cosmic censorship, … Read more

Graduate Workshop on Moduli of Curves: July 7 – 18, 2014

Application for workshop is now closed. Organized by Samuel Grushevsky, Robert Lazarsfeld, and Eduard Looijenga Dates: July 7 – 18, 2014 In recent years, moduli of Riemann surfaces (or algebraic curves) have come to play an increasingly central role in several fields of mathematics, including algebraic and complex geometry, topology, Teichmuller dynamics, mathematical physics, and … Read more

Seminar Series May 5 – 9 by Helmut Hofer (IAS) and Dominic Joyce (Oxford)

During the week of May 5 – 9, 2014 there will be a joint seminar series by Helmut Hofer (IAS) and Dominic Joyce (Oxford). SCHEDULE: Monday May 5 1:00pm – 2:00pm, SCGP Room 313 – Dominic Joyce, “The 2-categories of d-manifolds and d-orbifolds” Download Slides 2:30pm – 3:30pm, SCGP Room 313 – Helmut Hofer, “Polyfold” Tuesday … Read more

Lecture Series by Simon Donaldson

Title: “Kahler Geometry” The lectures will cover quite a lot of ground systematically, including the work on Kahler Einstein metrics in the positive case (Fano Varieties) and the algorithm’s mentioned in Burt Ovrut’s talk a few weeks back.