Representations in Arithmetic Lectures: Adrian Iovita

  • Start Date: 03/15/2018
  • End Date: 03/16/2018
  • Time: 14:00
Lecturer(s):
Adrian Iovita, Concordia University
Location: 

University of British Columbia

Topic: 

p-Adic modular forms

Description: 

p-Adic modular forms have first been defined by J.-P. Serre as q-expansions and have later been interpreted geometrically by N. Katz as sections of certain modular line bundles over the ordinary locus of the relevant modular curves.
Katz also defined overconvergent modular forms of integer weights as overconvergent sections of the modular line bundles of that weight. Many years later H. Hida and respectively R. Coleman defined ordinary, respectively finite slope overconvergent modular forms of arbitrary, p-adic weight as q-expansions and using these Coleman and Mazur constructed at the end of the 90's the famous eigencurve. Recently, together with Andreatta, Pilloni and Stevens we have been able to geometrically redefine the overconvergent modular forms of Hida and Coleman and so we were able to generalize these constructions to Hilbert and Siegel modular forms.

This talk is part of the PIMS Thematic Events on "Galois groups in arithmetic".

 

This series of lectures will be delivered March 12 and 15. More details are available below. 

Other Information: 

Location: ESB 4127

 

Dates:

March 15, 2:00pm- 3:00pm, 2018 

March 16, 11:00am- 12:30pm, 2018

 

Location: UBC Earth Science Building: Room 4127

 

To join via Bluejeans: https://bluejeans.com/151434536 

 

To join via Room System:

Video Conferencing System: bjn.vc -or-199.48.152.152 Meeting ID : 151434536 

 

This series is part of the PIMS Focus Period on Representations in Arithmetic