Events and Activities

Explore current and upcoming events and activities happening at the Institute for Advanced Study.

Mar
04
2024

Joint IAS/Princeton Arithmetic Geometry Seminar

Pro-etale Cohomology of Rigid-Analytic Spaces
Johannes Anschütz
3:30pm|Simonyi Hall 101 and Remote Access

In this talk I want to explain some surprising features of the pro-etale cohomology of rigid-analytic varieties, and how they can be explained by a six functor formalism with values in solid quasi-coherent sheaves on the Fargues-Fontaine curve. 

This...

Mar
08
2024

Analysis and Mathematical Physics

Variations on Fefferman's Ball Multiplier Theorem
2:30pm|Simonyi Hall 101 and Remote Access

What happens to an Lp function when one truncates its Fourier transform to a domain? This question is now rather well understood, thanks to famous results by Marcel Riesz and Charles Fefferman, and the answer depends on the domain: if it is a...

Mar
18
2024

Joint IAS/Princeton Arithmetic Geometry Seminar

Towards a Unified Theory of Canonical Heights on Abelian Varieties
Padmavathi Srinivasan
3:30pm|Simonyi Hall 101 and Remote Access

p-adic heights have been a rich source of explicit functions vanishing on rational points on a curve. In this talk, we will outline a new construction of canonical p-adic heights on abelian varieties from p-adic adelic metrics, using p-adic Arakelov...

Mar
22
2024

Condensed Learning Seminar

Analytic Adic Spaces and Descent
2:30pm|Princeton University, Fine Hall 314

For a general complete Huber pair $(A,A^+)$, define the analytic ring $(A,A^+)_\blacksquare$. Prove that the associations $\mathrm{Spa}\, (A,A^+)\mapsto \mathcal{D}((A,A^+)_\blacksquare)$, $\mathrm{Spa}\, (A,A^+)\mapsto \mathcal{D}^\omega((A,A^+)_...

Apr
02
2024

Condensed Learning Seminar

Six Functors
Juan Esteban Rodriguez Camargo
2:30pm|Simonyi Hall 101

Define the category of solid quasi-coherent sheaves $\mathcal{D}_\blacksquare(X)$ on a rigid-analytic varity $X$. Show that this assignment comes with a natural $6$-functor formalism. Finally, prove the Grothendieck--Serre duality in the rigid...