Monday, October 14 at 3:30pm to 4:30pm

This is a past event.

Kaprielian Hall (KAP), 245

3620 South Vermont Avenue, Los Angeles, CA 90089

**Nivedita Bhaskar, USC**

Abstract: A zero cycle on a *k*-variety *X* is any element of the free abelian group of closed points of *X* and its degree is the sum of its coefficients, weighted by the degrees of the residue fields. Any *k*-rational point of *X* is a zero cycle of degree one. In this talk, we discuss Serre’s injectivity question which asks whether the converse is true for torsors *X* under connected linear algebraic groups, i.e. whether such an *X* admitting a zero cycle of degree one in fact has a rational point. This naturally brings into the picture the so-called norm principles, which examine the behaviour of the images of group morphisms over field extensions from a linear algebraic group into a commutative one with respect to the norm map.

- Event Type
- Campus

- Department
- Mathematics
- Add this to your calendar

No recent activity