Title:  p-adic Hodge Theory and Combinatorics-II

Speaker: Som Phene, University of Michigan.

Time: Tuesday, 28 July, 4:30 pm.

Venue: Room 215

Abstract: We introduce combinatorial geometries and geometric lattices. 
We show an equivalence between them followed by the correspondence of 
their finite versions with simple matroids. We then introduce the 
characteristic polynomial of a matroid, the Mobius algebra of a lattice. 
  We hope to shed light on the result of log concavity for simple 
matroids (Huh 2012 for matroids representable in char 0, Huh-Katz 2012 
for each representable matroid, Adiprasito-Huh-Katz 2018 for general 
matroids).