##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Gon\c{c}alo Tabuada

#### MIT

## A topological/noncommutative approach to Grothendieck, Voevodsky, and Tateâ€™s conjectures.

##### Abstract:

Grothendieckâ€™s standard conjectures, Voevodskyâ€™s nilpotence conjecture, and Tateâ€™s conjecture, play a key central role in algebraic geometry. Notwithstanding the effort of several generations of mathematicians, the proofs of these celebrated conjectures remain ellusive. The aim of this talk, prepared for a broad audience, is to give an overview of a recent topological/noncommutative approach which has led to the proof of the aforementioned important conjectures in several new cases.

James McKernan

### December 6, 2017

### 3:00 PM

### AP&M 6402

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