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Events
Leipzig Lectures on Theta - Replacement

conference

15/03/2022 17/03/2022

Leipzig Lectures on Theta - Replacement

MPI für Mathematik in den Naturwissenschaften Leipzig

G3 10 (Lecture hall)

Speakers

Türkü Özlüm Çelik

Boğaziçi University

Claudia Fevola

Max Planck Institute for Mathematics in the Sciences

Yelena Mandelshtam

UC Berkeley

Mar 15, 2022
11:00	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	Lunch Break
15:00	Discussion Session
16:30	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.
Mar 16, 2022
10:00	Daniele Agostini (Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany) Second lecture on theta Riemann quartics
14:30	Virtual meeting in Edinburgh
Mar 17, 2022
10:00	Daniele Agostini (Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany) Third lecture on theta
12:00	Lunch Break
13:30	Discussion Session
15:00	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	Yelena Mandelshtam (UC Berkeley, Berkeley, USA) tba

Participants

Daniele Agostini

Max Planck Institute for Mathematics in the Sciences

Rida Ait El Manssour

MPI MiS

Arthur Bik

MPI Leipzig

Türkü Özlüm Çelik

Boğaziçi University

Claudia Fevola

Max Planck Institute for Mathematics in the Sciences

Alheydis Geiger

Eberhard Karls Universität

Yelena Mandelshtam

UC Berkeley

Pierpaola Santarsiero

MPI MiS

Javier Sendra-Arranz

Max Planck Institute for Mathematics in the Sciences

Bernd Sturmfels

MPI Leipzig

Bertrand Teguia Tabuguia

MPI Leipzig

Scientific Organizers

Daniele Agostini

Max Planck Institute for Mathematics in the Sciences

Administrative Contact

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact by email