Room 515, Cosmology Building, National Taiwan University + Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Zoom)
An Introduction to Berkovich Geometry and Kontsevich-Soibelman Conjecture
Keita Goto (National Taiwan University)
Abstract
Originally, Berkovich Geometry was known as one of the theories studying Non-Archimedean Geometry which is a branch to study analytic spaces over a non-Archimedean field. However, a framework of Berkovich Geometry enables us to study analytic spaces over not only a non-Archimedean field but also a certain Banach ring.
In this talk, I'll introduce such a concept and fundamental facts of Berkovich Geometry. Besides, I'll explain Kontsevich-Soibelman Conjecture as its application. An SYZ fibration is often studied in the SYZ mirror symmetry context. This conjecture predicts a certain equivalence between SYZ fibration and a non-Archimedean analog of SYZ fibration.
The latter half of my talk will be devoted to describing my joint work with Yuji Odaka, which partially proves this conjecture.
Link Information:
Zoom ID：838 7836 1163
Passcode：714285
