Seminar:
Colloquium
Event time:
Wednesday, September 25, 2024 - 4:00pm
Location:
KT 205
Speaker:
David Hansen
Speaker affiliation:
National University of Singapore
Event description:
The Langlands program predicts some surprising connections between number theory and representation theory, most of which are still conjectural. In recent years, powerful new tools in non-archimedean geometry have led to dramatic progress on these questions. One fascinating aspect of these new tools is that in a certain precise sense, they allow us to treat a fixed prime number p as a variable, which opens the door to importing ideas from the geometric Langlands program into more arithmetic settings. I will give a historically motivated introduction to this circle of ideas, and give a big-picture view of some of the most exciting recent and ongoing developments.
Research Area(s):
Number Theory