Home /  Hot Topics Workshop: Geometric Sen Theory, the p-adic Simpson Correspondence, and Modularity

Workshop

Hot Topics Workshop: Geometric Sen Theory, the p-adic Simpson Correspondence, and Modularity February 22, 2027 - February 26, 2027
Parent Program: --
Series: Hot Topic, Hot Topic
Location: SLMath: Eisenbud Auditorium, Commons Room, Atrium, Online/Virtual
Organizers Rebecca Bellovin (Imperial College, London), LEAD Sean Howe (University of Utah), David Savitt (Johns Hopkins University), Matthias Strauch (Indiana University)
Description
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The perfectoid infinite level modular curve
This workshop will focus on geometric Sen theory, its connections to the p-adic Simpson correspondence, and applications to modularity. In addition to three mini-courses, the workshop will feature research talks on related recent developments in p-adic Hodge theory and p-adic geometry.  
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords

  • Geometric Sen theory

  • p-adic Simpson correspondence

  • non-abelian Hodge theory

  • padic Hodge theory

  • p-adic geometry

  • modularity

  • modularity lifting

  • Fontaine–Mazur

  • classicality and control theorems

  • p-adic Langlands

  • completed cohomology

  • cohomological vanishing

  • Galois representations

  • Automorphic forms

  • p-adic modular forms

  • p-adic automorphic forms

  • analytic stacks

  • prismatic cohomology

  • prismatization.

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
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To apply for funding, you must register by the funding application deadline displayed above.

All are welcome to apply for funding, including students and recent PhDs. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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