Speaker: Prof. Shanwen Wang (Renmin University)
Time: 14:30-16:00 September 25, 2023 (Monday)
Place: MCM110
Title: Moduli interpretation and the Cartier theory
Abstract: Discuss Drinfeld's moduli interpretation of bΩ [BC91, I.5-I.6]. Then explain the Cartier theory for formal O-modules and OD-modules [BC91, II.1-II.2].
Speaker: Prof. Meng Fai Lim (Central China Normal University)
Time: 10:30-11:30am, September 26, 2023 (Tuesday)
Place: MCM110
Title: On fine Selmer groups
Abstract: The fine Selmer group has been a much studied object in Iwasawa theory. One of its original roles was to provide a means of formulating (and proving) the main conjecture. On the other hand, the work of Coates and Sujatha initated a systematic study on this group on its own right. My talk will focus on this latter aspect. I shall begin with giving a brief survey on the work of Coates-Sujatha. After that, I will then report some of my work on the following two themes.
(1) A torsioness conjecture on the fine Selmer group over an arbitrary Zp-extension.
(2) A question of Greenberg concerning an explicit description of the structure of the fine Selmer group over the cyclotomic Zp-extension of Q and formulation of its variants.
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