Geometric Structures - Akos Matszangosz - March 2 - 4:15 pm (Rome Time)

[Miruna - Stefana Sorea]

Dear All, 

This is to announce the next seminar from the series "Geometric
Structures".

Speaker: AKOS MATSZANGOSZ [1](Alfréd Rényi Institute of Mathematics) [1]

Title: Cohomology rings of real flag manifolds 

Time: March 2, 2021, 4:15 pm (Rome Time)  

Venue: from remote only, on zoom at this link 
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
[2]
Passcode: geometry

Abstract:  

The cohomology ring of a complex (partial) flag manifold has two
classical descriptions; a topological one (via characteristic classes)
and a geometric one (via Schubert classes). Similar descriptions are
well-known for real flag manifolds X with mod 2 coefficients. In this
talk I will discuss some aspects of what can be said with rational, or
integer coefficients. Namely, I will consider questions of the following
type: 

1) Which Schubert varieties represent an integer cohomology class? 

2) What are their structure constants? 

3) What can be said about torsion in H^*(X;\Z)? 

I will also discuss some applications of the ring structure to real
Schubert calculus. 

More information can be found here:
https://sites.google.com/view/geometric-structures/ [3] 

Everyone is welcome! 
-- 
_Miruna-Stefana Sorea_
_Postdoctoral Researcher_
_Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste,
Italy_
_HTTPS://SITES.GOOGLE.COM/VIEW/MIRUNASTEFANASOREA/_ 

Links:
------
[1]
https://www.google.com/url?q=https%3A%2F%2Fsites.google.com%2Fview%2Fmatszangosz%2F&sa=D&sntz=1&usg=AFQjCNFgJL2WRW-b2qjpJmhn3_eREKQ9GQ
[2]
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
[3] https://sites.google.com/view/geometric-structures/