2016
Mar
17

# Colloquium-Landau Lectures: Ravi Vakil (Stanford) "Cutting and pasting in algebraic geometry, and the motivic zeta function"

3:30pm to 4:30pm

## Location:

Manchester Building (Hall 2), Hebrew University Jerusalem

Given some class of "geometric spaces", we can make a ring as follows.

1. (additive structure) When U is an open subset of such a space X, [X] = [U] + [(X \ U)]

2. (multiplicative structure)} [X x Y] = [X] [Y].

In the algebraic setting, this ring (the "Grothendieck ring of varieties") contains surprising structure, connecting geometry to arithmetic and topology.

1. (additive structure) When U is an open subset of such a space X, [X] = [U] + [(X \ U)]

2. (multiplicative structure)} [X x Y] = [X] [Y].

In the algebraic setting, this ring (the "Grothendieck ring of varieties") contains surprising structure, connecting geometry to arithmetic and topology.