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G3 10 (Lecture hall)

conference

15/03/2022 17/03/2022

Leipzig Lectures on Theta - Replacement

Boğaziçi University

Max Planck Institute for Mathematics in the Sciences

UC Berkeley

11:00 - 13:00	Daniele Agostini (Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany) First lecture on theta Theta functions, theta constants and Kummer varieties
13:00 - 15:00	Lunch Break
15:00 - 16:30	Discussion Session
16:30 - 17:30	Türkü Özlüm Çelik (Boğaziçi University, Istanbul, Turkey) Kadomtsev-Petviashvili equation via computational algebraic geometry The Kadomtsev-Petviashvili (KP) equation is a nonlinear partial differential that is a fundamental one among all integrable systems. This talk aims to make an excursion into the study of the KP equation with a view from computational algebraic geometry. The emphasis will be on exploiting modern tools in symbolic, numerical and combinatorial algebraic geometry to investigate solutions of the differential equation.

10:00 - 12:00	Daniele Agostini (Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany) Second lecture on theta Riemann quartics
14:30 - 18:30	Virtual meeting in Edinburgh

10:00 - 12:00	Daniele Agostini (Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany) Third lecture on theta
12:00 - 13:30	Lunch Break
13:30 - 15:00	Discussion Session
15:00 - 16:00	Claudia Fevola (Max Planck Institute for Mathematics in the Sciences) KP Solitons from Tropical Limits In this talk, we study solutions to the Kadomtsev-Petviashvili equation whose underlying algebraic curves undergo tropical degenerations. Riemann’s theta function becomes a finite exponential sum that is supported on a Delaunay polytope. We introduce the Hirota variety which parametrizes all tau functions arising from such a sum. After introducing solitons solutions, we compute tau functions from points on the Sato Grassmannian that represent Riemann-Roch spaces. This is joint work with Daniele Agostini, Yelena Mandelshtam and Bernd Sturmfels.
16:00 - 17:00	Yelena Mandelshtam (UC Berkeley, Berkeley, USA) tba

Max Planck Institute for Mathematics in the Sciences

MPI MiS

MPI Leipzig

Boğaziçi University

Max Planck Institute for Mathematics in the Sciences

Eberhard Karls Universität

UC Berkeley

MPI MiS

Max Planck Institute for Mathematics in the Sciences

MPI Leipzig

MPI Leipzig

Max Planck Institute for Mathematics in the Sciences

Max Planck Institute for Mathematics in the Sciences Contact via Mail