# Algebraic Geometry

#### Hodge Groups of Hodge Structures with Hodge Numbers (n,0,...,0,n)

##### Laure Flapan (UCLA)
Friday, March 24 - 3:15 pm
119 Physics

One of the main tools available for proving certain cases of the Hodge conjecture for abelian varieties is to compute the Hodge groups of the weight-1 Hodge structures associated to these abelian...

#### Positivity in T-equivariant K-theory of flag varieties associated to Kac-Moody groups

##### Seth Baldwin (UNC - Chapel Hill)
Friday, March 31 - 3:15 pm
119 Physics

The cohomology rings of flag varieties have long been known to exhibit positivity properties. One such property is that the structure constants of the Schubert basis with respect to the cup product...

#### TBA

##### Prakash Belkale (UNC)
Friday, April 7 - 3:15 pm
119 Physics

#### Fake projective spaces and fake tori

##### Olivier Debarre (Ecole Normale Supérieure and Duke)
Friday, April 14 - 3:15 pm
119 Physics

We discuss compact complex manifolds which look like'' complex projective spaces or complex tori. Hirzebruch and Kodaira proved in 1957 that when n is odd, any compact Kähler manifold X...