Previous Conferences & Workshops

https://www.ias.edu/math/wam/2017

The IAS recently organized an Emerging Topics Working Group on "Applications to modularity of recent progress on the cohomology of Shimura varieties". Based on ideas of Calegari and Geraghty, and using recent results of Khare-Thorne and Caraiani...

https://www.ias.edu/math/wam/2017

https://www.ias.edu/math/wam/2017

https://www.ias.edu/math/wam/2017

https://www.ias.edu/math/wam/2017

The Grothendieck-Katz $p$-curvature conjecture is an analogue of the Hasse Principle for differential equations. It states that a set of arithmetic differential equations on a variety has finite monodromy if its $p$-curvature vanishes modulo $p$...

The string topology coproduct is an intersection type operation, originally described by Goresky-Hingston and Sullivan, which considers transverse self-intersections on chains of loops in a smooth manifold and splits loops at these intersection...

This is joint work with Tasho Kaletha. The local Langlands correspondence predicts that representations of a reductive group $G$ over a $p$-adic field are related to Galois representations into the Langlands dual of $G$. A conjecture of Kottwitz (as...