Faculty of Mathematics, Physics
and Informatics
Comenius University Bratislava

Seminar of Differential and Algebraic Topology - Csaba Nagy (9.1.2020)

Thursday 9.1.2020 at 14:00 hod., Lecture room M/119


01. 01. 2020 21.54 hod.
By: Tibor Macko

Csaba Nagy (University of Melbourne):
The Sullivan-conjecture in complex dimension 4


Abstract:
Complete intersections are the simplest smooth complex projective varieties, they are constructed as the transverse intersection of algebraic hypersurfaces. The Sullivan-conjecture claims that complete intersections are classified up to diffeomorphism by their total degree, Euler-characteristic and Pontryagin-classes. In this talk I will give an introduction to complete intersections, present some known results about the Sullivan-conjecture, and give an overview of our proof of the 4-dimensional case.

This is joint work with Diarmuid Crowley.