Some advances in the geometric Langlands program

Seminar: 
Colloquium
Event time: 
Wednesday, January 18, 2023 - 4:15pm
Location: 
LOM 214
Speaker: 
Sam Raskin
Speaker affiliation: 
UT Austin
Event description: 

Classically, mathematicians observed parallels between algebraic number theory and the theory of Riemann surfaces. The geometric Langlands program grew from these analogies, seeking to find geometric avatars of arithmetic phenomena. I will try to explain some of these classical ideas underpinning geometric Langlands, and then describe outcomes of some projects of mine from recent years that speak to them.