Homological Mirror Symmetry and Topological Recursion
This event is partially supported by the Simons Collaboration on Homological Mirror Symmetry, with the assistance of the University of Miami Department of Mathematics. The programme will feature 3 mini-courses and a range of research talks in various areas of homological mirror symmetry and related topics.
Topological and Geometric Recursion in Interaction with Resurgence
Organizers: Maxime Kontsevich (IHES/Miami) and Jorgen Ellegaard Andersen (QM, SDU, Denmark)
Topological recursion is an algebra-geometric construction which takes the spectral curve and makes out of it a recursive definition of infinite sequences of symmetric meromorphic n-forms with poles. It was first discovered for random matrices. A main goal of random matrix theory is to find the large size asymptotic expansion of n-point correlation functions, and in some cases, the asymptotic expansion takes the form of an infinite series. The n-form ω(g,n) is than the gth coefficient in the asymptotic expansion of the n-point correlation function. It was found that the coefficients ω(g,n) always obey the same recursion on 2 g -2 +n. The idea is to consider this universal recursion relation beyond random matrix theory, and to promote it as a definition of algebraic curve invariants, was first introduced by Eynard-Orantin in 2007, where they studied the main properties of these invariants.
Participants:
Jorgen Ellegaard Andersen, Gaëtan Borot, Francois David, Bertrand Eynard, Seigei Gukov, Rinat Kashaev, Ralph Kauffman, Maxime Kontevich, Ernesto Lupercio, Grigory Mikhalkin, Marco Mariño, Marcos Maurino, Nicolas Orantin, Tony Pantev, Du Pei, Sylvain Ribault, David Sauzin, Ricardo Schiappa, Yan Soibelman, Yakov Soibelman, Nikita Nekrasov, Smason Shatashvilli, Ludmil Katzarkov, Bertrand Eynard, Nivolas Orantin, postdoctoral associates from Mexico and Brazil TBA
There will be additional short courses (Andersen, Eynard, Kontevich, Soibelman) and seminars.
Workshop Programs
Homological Mirror Symmetry and Topological Recursion (January 27-February 1, 2020)
Topological and Geometric Recursion in Interaction with Resurgence (February 2-8, 2020)
IMSA Special Evening
Mathematics & Biomedicine (January 30, 2020)
Cancelled Workshops
Due to the unpredictability of Covid-19 and the mandatory cancellation of some of the main organizers, IMSA is taking extra precautionary measures to ensure the well-being of our visitors and personnel. The following scheduled workshops have been cancelled and will be rescheduled by the organizers to a future date and be done in a different format.
- Workshop on Resurgence and Quantum Invariants (3/10/20 – 3/13/20)
- School on Resurgence (3/16/20 - 3/20/20)
- Quantum Toric Geometry (3/30/20 - 4/2/20)
