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Number Theory Seminar

Tuesday, October 19, 2021
4:00pm to 5:00pm
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Linde Hall 387
Iwasawa theory in the Gan-Gross-Prasad setting
Shilin Lai, Department of Mathematics, Princeton University,

In the GGP setting, from archimedean consideration, one expects many Iwasawa main conjectures, indexed by weight interlacing. We will show how special Selmer classes can be used to relate them, generalizing an observation of Castella and Wan. Assuming some expected conjectures on torsions in cohomology, we will also construct one of the required classes using cycles coming from the arithmetic GGP conjecture, generalizing the works of Howard on big Heegner points.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.