# Bott periodicity for the unitary group

## Location

383-N

Friday, October 21, 2022 1:30 PM

Nikhil Pandit (Stanford)

This talk will be a friendly introduction to K-theory and its associated spectrum KU. The goal will be to discuss at least one proof of Bott periodicity, which states that the second loopspace of the unitary group U is homotopy equivalent to U. Time permitting, we will also describe Bott periodicity in the real case.