Boston University Number Theory Expository Seminar

The topic for Spring 2023 BUNTES is rigid analytic geometry.

Seminar Schedule

• (01/27): Motivation for Rigid Spaces (James)
• (02/03): Tate Algebras (John)
• (02/10): Affinoid Spaces (Sid)
• (02/17): Affinoid Subdomains and the Gerritzen-Grauert Theorem (Jacksyn)
• (02/24): Tate's Acyclicity Theorem (Xinyu)
• (03/03): Rigid Spaces (James)
• (03/10): Spring Break / AWS / Heidelberg (No Meeting)
• (03/17): Rigid Cohomology (Jiawei)
  This ends the first half of the seminar, i.e. the classical perspective. The next half will focus on the formal aspects of rigid spaces.

• (03/24): Introduction to Formal Schemes (Zecheng)
• (03/31): Formal Schemes II (Xinyu)
• (04/07)**: Admissible formal blowing up (Jacksyn) ** Special Time: Friday 11:30-12:30pm, same room
• (04/14): Rigid geometry via formal schemes (Jiawei)
• (04/21): Tate Elliptic Curve (Aash)
• (04/28): Application to Semistable Reduction (James)

References

• Bosch-Lutkebohmert, Formal and Rigid Geometry I. Rigid Spaces
• Bosch-Lutkebohmert, Formal and Rigid Geometry II. Flattening Techniques
• Tian, Introduction to Rigid Geometry
• Lutkebohmert, Rigid Geometry of Curves and Their Jacobians
• Frensel-van der Put, Rigid Analytic Geometry and Its Applications
• Conrad, Several Approaches to Non-Archimedean Geometry