skip to main content

Leonidas Alaoglu Memorial Lecture in Mathematics

Tuesday, January 10, 2023
4:00pm to 5:00pm
Add to Cal
Linde Hall 310
Local Langlands Conjectures
Michael Harris, Department of Mathematics, Columbia University,

The Langlands program is a vast collection of conjectural relations between Galois theory, geometry, and the representation theory of groups. Holding it all together are the Local Langlands Conjectures, which relate the Galois theory of local fields, like the field of power series in one variable over a finite field - the next simplest case, in many respects, after the Galois theory of finite fields - to the theory of infinite-dimensional representations of matrix groups with coefficients in these same fields. Recent progress on these conjectures has been so successful that there are now several versions of the Local Langlands Conjectures, and a fundamental problem is to show that they are all equivalent. I will review some of this work and explain some recent results that indicate that there is only one Local Langlands Conjecture after all.

For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].