Семинар на МЦМН и съвместно заседание със семинара АГТ
2025-12-02 13:00 - 16:00 (Europe/Sofia) | Институт по математика и информатика – БАН, Block 8, 1113 БАН IV км., София, Bulgaria
Следващото заседание на семинара на МЦМН ще се състои във вторник, 2 декември 2025 г. Доклади ще изнесат Рой Маген от МЦМН и Ливиу Орнеа от Букурещския университет, като вторият доклад е в рамките на съвместно заседание със семинара на секция “Анализ, Геометрия и Топология”. Програмата е следната.

ICMS Seminar and AGT Seminar

Tuesday, December 2nd, room 403 IMI-BAS.

13:00 — Roy Magen (ICMS, IMI-BAS)

Flavours of homotopy theory

14:00 — Liviu Ornea (University of Bucarest)

Distinguished non-Kähler metrics on compact complex manifolds

Abstract (Magen):
In this talk we will consider different flavours of homotopy theory for different types of geometric contexts. First we will recall the usual definitions of the homotopy category, and equivariant homotopy categories, and we will show how we can think of these in terms of (equivariant) smooth manifolds. This will give us a suitable framework with which to adapt the notion of homotopy theory to different geometries.
We first use this framework to give a brief overview of the story in algebraic geometry, which produces motivic homotopy theory. Next, we will use our framework to discuss notions of homotopy theories parametrized by a geometric object, and discuss some consequences.
Depending on time constraints and interest, we will end either by discussing work relating this homotopical framework to 6-functor formalisms, by going over a version of this story in the complex analytic setting, or by introducing C∞-schemes and discussing possibilities for an extension of the story for manifolds to this setting.
Abstract (Ornea):

I shall review the definitions of LCK, pluriclosed and balanced metrics and discuss their incompatibility on the same compact complex manifold.
