Number Theory Seminar @ University of Melbourne

Alex Ghitza and I are running a working seminar on things number-theoretic.

Time: 12:00-13:00 Fri. (Melbourne local time) this semester (2022S1).

Venue: Outdoors on the Peter Hall Building lawn. Weather not permitting, Peter Hall Building 107.

Zoom: Please join the mailing list to receive the Zoom link.

Topic: Basic Notions in Modular Forms and Automorphic Forms.

Please go to the Number Theory Research Group website where you can find a link to join our mailing list. You will receive the Zoom link and announcements of talks.

27 May, 2022

Iwasawa Theory of Class Group Schemes
Note: Joint with the Pure Maths Seminar; special Time 11:30 - 13:00
Iwasawa theory is the study of the growth of arithmetic invariants in Galois extensions of global fields with Galois group a p-adic Lie group. Beginning with Iwasawa's seminal work in which he proved that the p-primary part of the class group in ℤp-extensions of number fields grows with striking and unexpected regularity, Iwasawa theory has become a central strand of modern number theory and arithmetic geometry. While the theory has traditionally focused on towers of number fields, the function field setting has been studied extensively, and has important applications to the theory of p-adic modular forms. This talk will introduce an exciting new kind of p-adic Iwasawa theory for towers of function fields over finite fields of characteristic p, and discuss some applications to problems and open conjectures in the field.

20 May, 2022

Automorphic Forms, a Generalisation of Modular Forms
Chenyan Wu (the University of Melbourne)
Notes taken by Chengjing Zhang

13 May, 2022

Some Applications of Modular Forms
Yiannis Fam (the University of Melbourne)

6 May, 2022

Geometric Aspects of Modular Forms
Alex Ghitza (the University of Melbourne)

27 Apr., 2022

Siegel Modular Forms
Chengjing Zhang (the University of Melbourne)

15 Apr. and 22 Apr., 2022

No talks due to Easter Holidays

8 Apr., 2022

Hecke Operators
Alex Ghitza (the University of Melbourne)

1 Apr., 2022

Modular Forms of Half Integral Weight
Alex Ghitza (the University of Melbourne)

25 Mar., 2022

A Recap on Modular Forms
Chenyan Wu (the University of Melbourne)

18 Mar., 2022

Algebraic Groups, Mostly Classical Groups
Chenyan Wu (the University of Melbourne)