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Caltech

Number Theory Seminar

Thursday, April 20, 2023
4:00pm to 5:00pm
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Linde Hall 387
Construction of an anticyclotomic Euler System
Kim Tuan Do, Department of Mathematics, UCLA,

We construct a new anticyclotomic Euler system for the Galois representation attached to a modular form of weight 2k, twisted by an anticyclotomic Hecke character \chi of infinity type (m,-m), denoted V_{f,\chi}, when the Heegner hypothesis is not satisfied and m\ge k. If time permits, we will then show some arithmetic applications (in a joint work with F. Castella) of the constructed Euler system, including evidence of the Bloch-Kato Conjecture and the Iwasawa Main Conjecture for V{f,\chi}.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].