Mar 30, 2023
Quadratic forms arising from geometry
Algebraic Geometry and Number Theory Seminar
Date: March 30, 2023 |
1:00 pm –
Speaker: Giuseppe Ancona, Université de Strasbourg
Location: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
The cup product on topological manifolds or the intersection product on algebraic varieties induce quadratic forms which turn out to be a fine invariant of these geometric objects. We will discuss some old theorems on the signature of these quadratic forms and some applications both of geometric and arithmetic origins. Finally we will study an old conjecture of Grothendieck about those signatures and explain some new evidences.