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SUMMARY:Xiaoyu Zhang (Universität Duisburg-Essen)
DTSTART:20200610T100000Z
DTEND:20200610T110000Z
DTSTAMP:20260423T024720Z
UID:POINTS/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINTS/8/">p
 -adic family of modular forms on GSpin Shimura varieties</a>\nby Xiaoyu Zh
 ang (Universität Duisburg-Essen) as part of POINTS - Peking Online Intern
 ational Number Theory Seminar\n\n\nAbstract\nThe theory of $p$-adic interp
 olation of modular forms on the upper half plane started with Serre for Ei
 senstein series and then was developed by Hida for ordinary cuspidal modul
 ar forms. This theory plays an important role in the construction of $p$-a
 dic $L$-functions\, modularity theorems\, etc. In this talk\, I will gener
 alize this theory to modular forms on $\\mathrm{GSpin}$ Shimura varieties.
  In such cases\, the ordinary locus may be empty and we need to work with 
 the $\\mu$-ordinary locus. Then we follow Hida’s idea to construct $p$-a
 dic families of modular forms and give the control theorem on the dimensio
 n of the space of such $p$-adic families.\n\nZoom number: 682 6223 4350\n\
 nPassword: 300890\n
LOCATION:https://researchseminars.org/talk/POINTS/8/
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