Representations in Arithmetic Lectures: Antonio Lei

  • Start Date: 03/05/2018
  • End Date: 03/09/2018
Speaker(s):
Antonio Lei, Université Laval
Location: 

University of British Columbia

Topic: 

Iwasawa Theory for elliptic curves with super singular reduction.

Description: 

Let E/Q be an elliptic curve. In Iwasawa Theory, we study the behaviours of E over a tower of number fields. For example, it is known that the Mordell Weil ranks of E over all p-power cyclotomic extensions of Q are bounded when p does not divide the conductor of E. Surprisingly, the techniques required to show this are very different depending on the number of points on the finite curve when we consider E reduced modulo p. The easier case is when E has "ordinary" reduction at p and the more difficult case is when E has "supersingular" reduction at p. I will review the Iwasawa-theoretic tools used to study the behaviours of E over cyclotomic fields in these two cases. I will also discuss some recent developments on the Iwasawa theory of elliptic curves over quadratic extensions of Q.

 

 

This series of lectures will be delivered March 5, 7, 9 : 11 a.m- 12:30pm. More details are available below.

Other Information: 

Dates: March 5, 7, 9, 2018

 

Time: 11am- 12:00pm 

 

Location: UBC Earth Science Building: Room 4127

 

To join via Bluejeans: https://bluejeans.com/904332137 

 

To join via Room System:
Video Conferencing System: bjn.vc -or-199.48.152.152 Meeting ID : 904332137

 

 

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