Nie jesteś zalogowany |
Cohomology rings of real flag manifolds
- Prelegent(ci)
- Akos Matszangosz
- Afiliacja
- Renyi Institute (Budapeszt)
- Termin
- 20 kwietnia 2021 16:30
- Informacje na temat wydarzenia
- Zoom: 892 1108 9551 Password - type the number equal to rk(H^2((S^1)^{200};Z))
- Seminarium
- Seminarium „Topologia algebraiczna”
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.
