The PIMS Postdoctoral Fellow Seminar: Debanjana Kundu

  • Date: 02/03/2021
Speaker(s):

Debanjana Kundu, UBC

 

 

Location: 

Online

Topic: 

Iwasawa Theory of (Fine) Selmer Groups

Description: 

The congruent number problem is the following question. Consider a right-angled triangle; what natural numbers can arise from its area, all of whose sides have lengths that are rational numbers? Though this question is easy to frame, it is related to a Clay millennium problem, the Birch and Swinnerton-Dyer (BSD) conjecture for elliptic curves. This conjecture is known in a few special cases, and Iwasawa theory provides a framework for attacking this conjecture in a systematic way. Though we are still very far off from resolving the BSD conjecture, Iwasawa theory itself has been growing as a subject.
In my talk, I will introduce the broad subject of Iwasawa theory; and spend considerable time discussing the Iwasawa theory of elliptic curves. Towards the end, I will briefly talk about my research on growth of fine Selmer groups in towers of number fields.

 

Speaker Biography: 

I am Debanjana Kundu, a PIMS Postdoctoral Fellow at UBC, Vancouver working with Prof. Sujatha Ramdorai. I earned my PhD from the University of Toronto in June 2020. I am interested in number theory, in particular, Iwasawa theory. Other areas of number theory that interest me include arithmetic statistics and Langlands' Beyond Endoscopy. When not math-ing, I love to read fiction! 

 

 

This event is part of the Emergent Research: The PIMS Postdoctoral Fellow Colloquium Series.

 

To register for this event (and others in the series), please register here, connection details will be sent out before each meeting.

Schedule: 

This seminar takes places across multiple timezones: 9:30 AM Pacific/ 10:30 AM Mountain / 11:30 AM Central

Other Information: