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SUMMARY:Families of modular forms and applications to Iwasawa theory [MPIM
 ]
DTSTART:20251209T124500Z
DTEND:20251209T134500Z
DTSTAMP:20260420T160400Z
UID:indico-event-981@math-events.uni-bonn.de
DESCRIPTION:Speakers: Alexandre Maksoud\n\nNumber theory lunch seminar\n 
 \nIwasawa theory seeks to formulate and prove refined versions of the anal
 ytic class number formula and the Birch–Swinnerton–Dyer formula. A key
  modern tool in these developments is the use of p-adic families of modula
 r forms\, which make it possible to construct and interpolate the p-adic L
 -functions and Euler systems underlying such refinements. In this talk\, w
 hich I will aim to keep understandable for a general audience in number th
 eory\, I will outline how these families are built and why they are so eff
 ective in Iwasawa theory. If time permits\, I will conclude with some rece
 nt results of my own on the geometry of spaces of p-adic modular forms.\n\
 nhttps://math-events.uni-bonn.de/event/981/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/981/
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