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:20260404T131141Z 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 tr ansfer of automorphic forms between classical groups. In this talk\, I wil l concentrate on theta lifts from a compact special orthogonal group SO(n) to a symplectic group Sp(2m) and present some results on the problem when the theta lift of a p-primitive automorphic form has some Fourier coeffic ients non-vanishing mod p. Then using doubling method\, I will discuss som e applications to standard L-values of automorphic forms on Sp(2m) and con gruence ideals.\n LOCATION:https://stable.researchseminars.org/talk/nctsnumbertheory/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Antonio Lei (Université Laval) DTSTART:20201111T161000Z DTEND:20201111T170000Z DTSTAMP:20260404T131141Z 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 the ory\n\n\nAbstract\nLet p be a fixed odd prime. Let f and g be two modular forms with ordinary and non-ordinary reductions at p respectively. We dis cuss the Iwasawa theory for the Rankin-Selberg product of f and g over the cyclotomic Zp-extension of Q as f varies in a Hida family. In particular\ , we discuss partial results towards a three-variable Iwasawa main conject ure. 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 joint work with Kazim Buyukboduk.\n LOCATION:https://stable.researchseminars.org/talk/nctsnumbertheory/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Shinichi Kobayashi (Kyushu University) DTSTART:20201112T040000Z DTEND:20201112T045000Z DTSTAMP:20260404T131141Z UID:nctsnumbertheory/3 DESCRIPTION:Title: On p-divisibilities of Special values of the Hecke L-funct ion of CM elliptic curves at inert primes\nby Shinichi Kobayashi (Kyus hu University) as part of L-values and Iwasawa theory\n\n\nAbstract\nThe I wasawa theory of CM elliptic curves was the starting point of the general Iwasawa theory but it is still not completely well-understood at inert pr imes. In this talk\, we discuss on an asymptotic behavior of p-adic valuat ions of special values of the Hecke L-function of CM elliptic curves at in ert prime p. We explain results with K. Bannai and S. Yasuda\, and also\nr ecent results with A. Burungale and K. Ota.\n LOCATION:https://stable.researchseminars.org/talk/nctsnumbertheory/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Chan-Ho Kim (Korea Institute for Advanced Study) DTSTART:20201112T051000Z DTEND:20201112T060000Z DTSTAMP:20260404T131141Z UID:nctsnumbertheory/4 DESCRIPTION:Title: Some applications of Kato's Euler systems\nby Chan-Ho Kim (Korea Institute for Advanced Study) as part of L-values and Iwasawa t heory\n\n\nAbstract\nI will discuss some new applications of Kato's Euler systems for higher weight modular forms including the numerical verificati on of the main conjecture and Mazur-Tate conjecture on Fitting ideals of S elmer groups.\n LOCATION:https://stable.researchseminars.org/talk/nctsnumbertheory/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Chris Skinner (Princeton University) DTSTART:20201112T143000Z DTEND:20201112T152000Z DTSTAMP:20260404T131141Z 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 U niversity) as part of L-values and Iwasawa theory\n\n\nAbstract\nIn this t alk I will report on some recent work on the arithmetic of elliptic curves in cases of rank one (analytic or Selmer). This will include some new res ults toward the Birch--Swinnerton-Dyer formula\, the p-converse theorems\, and a conjecture of Perrin-Riou. The methods of proof are Iwasawa-theore tic. This joint work with various combinations of Ashay Burungale\, France sc Castella\, Giada Grossi\, and Ye Tian.\n LOCATION:https://stable.researchseminars.org/talk/nctsnumbertheory/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Alice Pozzi (University College London) DTSTART:20201112T154000Z DTEND:20201112T163000Z DTSTAMP:20260404T131141Z UID:nctsnumbertheory/6 DESCRIPTION:Title: Derivatives of Hida families\, diagonal restriction and ri gid meromorphic 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 th e Drinfeld $p$-adic upper half plane by Möbius transformation. Rigid mero morphic cocycles\ncan be evaluated at points of real multiplication\, and their values conjecturally\nlie in the ring class field of real quadratic fields\, suggesting striking analogies\nwith the classical theory of compl ex multiplication.\n\nIn this talk\, we study the derivative of a $p$-adic family of Hilbert Eisenstein\nseries\, in analogy to the work of Gross an d Zagier. We express its diagonal restriction in terms of a modular genera ting series involving rigid meromorphic cocycles. We explain how the study of congruences between cuspidal and Eisenstein families allows us to show the algebraicity of the values of a certain rigid meromorphic cocycle at real multiplication points.\n\nThis is joint work with Henri Darmon and Ja n Vonk.\n LOCATION:https://stable.researchseminars.org/talk/nctsnumbertheory/6/ END:VEVENT END:VCALENDAR