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SUMMARY:On Hecke algebras at exceptional Eisenstein primes [MPIM]
DTSTART:20261026T113000Z
DTEND:20261026T123000Z
DTSTAMP:20261031T094900Z
UID:indico-event-1674@math-events.uni-bonn.de
DESCRIPTION:Speakers: Aleksandre Maksoud (MPIM)\n\nNumber theory lunch sem
 inar\nMazur’s seminal work on the Eisenstein ideal initiated the study o
 f Hecke algebras acting on cusp forms of weight $2$ that are congruent mod
 ulo $p$ to an Eisenstein series. This theory has since been developed by M
 erel\, Calegari--Emerton\, Lecouturier\, Wake--Wang-Erickson\, Deo\, and o
 thers\, particularly in weights $k\\geq 2$\, using geometric and Galois-th
 eoretic methods. The weight $1$ case\, especially at exceptional Eisenstei
 n primes\, remains comparatively less understood. In this talk\, we invest
 igate this setting and give a criterion for the relevant Hecke algebra to 
 be Gorenstein. Our approach relies on modularity theorems\, Iwasawa theory
 \, and $p$-adic $L$-functions.\n\nhttps://math-events.uni-bonn.de/event/16
 74/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1674/
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