WHEN: TUESDAY 28.04.15 at 14:15

WHERE: Seminar Room, Arnimallee 2, FU Berlin

Speaker: Karim Adiprasito (Hebrew University of Jerusalem)

Hodge theory and combinatorics

Among the pillars of algebraic geometry and positivity are the Lefschetz

and Hodge type theorems. I will survey the role these theorems play in

combinatorics, including their impact on McMullen's conjecture for face

numbers of simplicial polytopes and Rota's log-concavity conjecture.

Finally, I will present some recent results that prove standard

conjectures of the Lefschetz and Hodge type in a purely combinatorial

setting, extending far beyond methods of classical algebraic geometry, and

apply this to Rota's conjecture.

(The last part reports on recent joint work with June Huh (Princeton

University & IAS) and Eric Katz (University of Waterloo))

### Time & Location

Apr 28, 2015 | 02:15 PM

Seminar Room, Arnimallee 2, FU Berlin