LisMath Seminar 

21/04/2022, 11:30 — 12:00 — Online
Augusto Pereira, Instituto Superior Técnico, Universidade de Lisboa

Imaginary-time evolution of polarizations

In this talk I will present some results concerning the evolution of a polarization, in the geometric quantization context, under the imaginary-time Hamiltonian flow of a specific family of Hamiltonians. I will first begin with the rudiments of toric geometry and geometric quantization and the work in [1] on imaginary-time flows, aiming for an accessible presentation.

References:

[1] José M. Mourão, João P. Nunes. On Complexified Analytic Hamiltonian Flows and Geodesics on the Space of Kaehler Metrics, International Mathematics Research Notices, Volume 2015, Issue 20, 2015, Pages 10624 - 10656.