BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Xiaoyu Zhang (Universität Duisburg-Essen) DTSTART:20201111T150000Z DTEND:20201111T155000Z DTSTAMP:20260422T213048Z UID:nctsnumbertheory/1 DESCRIPTION:Title: p-primitivity of certain theta lifts and L-values\nby Xiaoyu Zhang (Universität Duisburg-Essen) as part of L-values and Iwasawa theory \n\n\nAbstract\nTheta lift is a very useful tool in studying the transfer of automorphic forms between classical groups. In this talk\, I will conce ntrate on theta lifts from a compact special orthogonal group SO(n) to a s ymplectic group Sp(2m) and present some results on the problem when the th eta lift of a p-primitive automorphic form has some Fourier coefficients n on-vanishing mod p. Then using doubling method\, I will discuss some appli cations to standard L-values of automorphic forms on Sp(2m) and congruence ideals.\n LOCATION:https://researchseminars.org/talk/nctsnumbertheory/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Antonio Lei (Université Laval) DTSTART:20201111T161000Z DTEND:20201111T170000Z DTSTAMP:20260422T213048Z UID:nctsnumbertheory/2 DESCRIPTION:Title: Semi-ordinary Iwasawa theory for Rankin-Selberg products\nby Antonio Lei (Université Laval) as part of L-values and Iwasawa theory\n\n \nAbstract\nLet p be a fixed odd prime. Let f and g be two modular forms w ith ordinary and non-ordinary reductions at p respectively. We discuss th e Iwasawa theory for the Rankin-Selberg product of f and g over the cyclot omic Zp-extension of Q as f varies in a Hida family. In particular\, we di scuss partial results towards a three-variable Iwasawa main conjecture. If time permits\, we will also discuss the Iwasawa theory for f over the Zp^ 2-extension of an imaginary quadratic field where p is inert. This is join t work with Kazim Buyukboduk.\n LOCATION:https://researchseminars.org/talk/nctsnumbertheory/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Shinichi Kobayashi (Kyushu University) DTSTART:20201112T040000Z DTEND:20201112T045000Z DTSTAMP:20260422T213048Z UID:nctsnumbertheory/3 DESCRIPTION:Title: On p-divisibilities of Special values of the Hecke L-function of CM elliptic curves at inert primes\nby Shinichi Kobayashi (Kyushu Univ ersity) as part of L-values and Iwasawa theory\n\n\nAbstract\nThe Iwasawa theory of CM elliptic curves was the starting point of the general Iwasaw a theory but it is still not completely well-understood at inert primes. I n this talk\, we discuss on an asymptotic behavior of p-adic valuations of special values of the Hecke L-function of CM elliptic curves at inert pri me p. We explain results with K. Bannai and S. Yasuda\, and also\nrecent r esults with A. Burungale and K. Ota.\n LOCATION:https://researchseminars.org/talk/nctsnumbertheory/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Chan-Ho Kim (Korea Institute for Advanced Study) DTSTART:20201112T051000Z DTEND:20201112T060000Z DTSTAMP:20260422T213048Z UID:nctsnumbertheory/4 DESCRIPTION:Title: Some applications of Kato's Euler systems\nby Chan-Ho Kim (Ko rea Institute for Advanced Study) as part of L-values and Iwasawa theory\n \n\nAbstract\nI will discuss some new applications of Kato's Euler systems for higher weight modular forms including the numerical verification of t he main conjecture and Mazur-Tate conjecture on Fitting ideals of Selmer g roups.\n LOCATION:https://researchseminars.org/talk/nctsnumbertheory/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Chris Skinner (Princeton University) DTSTART:20201112T143000Z DTEND:20201112T152000Z DTSTAMP:20260422T213048Z UID:nctsnumbertheory/5 DESCRIPTION:Title: Some Recent progress on the arithmetic of elliptic curves\, with an emphasis on cases of rank one\nby Chris Skinner (Princeton Universi ty) as part of L-values and Iwasawa theory\n\n\nAbstract\nIn this talk I w ill report on some recent work on the arithmetic of elliptic curves in cas es of rank one (analytic or Selmer). This will include some new results to ward the Birch--Swinnerton-Dyer formula\, the p-converse theorems\, and a conjecture of Perrin-Riou. The methods of proof are Iwasawa-theoretic. Th is joint work with various combinations of Ashay Burungale\, Francesc Cast ella\, Giada Grossi\, and Ye Tian.\n LOCATION:https://researchseminars.org/talk/nctsnumbertheory/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Alice Pozzi (University College London) DTSTART:20201112T154000Z DTEND:20201112T163000Z DTSTAMP:20260422T213048Z UID:nctsnumbertheory/6 DESCRIPTION:Title: Derivatives of Hida families\, diagonal restriction and rigid me romorphic cocycles\nby Alice Pozzi (University College London) as part of L-values and Iwasawa theory\n\n\nAbstract\nA rigid meromorphic cocycle is a class in the first cohomology of the group\n$\\mathrm{SL}_2(\\mathbb {Z}[1/p])$ acting on the non-zero rigid meromorphic functions on the Drinf eld $p$-adic upper half plane by Möbius transformation. Rigid meromorphic cocycles\ncan be evaluated at points of real multiplication\, and their v alues conjecturally\nlie in the ring class field of real quadratic fields\ , suggesting striking analogies\nwith the classical theory of complex mult iplication.\n\nIn this talk\, we study the derivative of a $p$-adic family of Hilbert Eisenstein\nseries\, in analogy to the work of Gross and Zagie r. We express its diagonal restriction in terms of a modular generating se ries involving rigid meromorphic cocycles. We explain how the study of con gruences between cuspidal and Eisenstein families allows us to show the al gebraicity of the values of a certain rigid meromorphic cocycle at real mu ltiplication points.\n\nThis is joint work with Henri Darmon and Jan Vonk. \n LOCATION:https://researchseminars.org/talk/nctsnumbertheory/6/ END:VEVENT END:VCALENDAR