CARMA ANALYSIS AND NUMBER THEORY SEMINAR

Speaker: Prof Wadim Zudilin (University of Newcastle)
Title: Mock theta functions
Time & Date: 3:00 pm EST, Tuesday 3 September 2013
Venue: Room V205, Mathematics Building, Callaghan Campus, The University of Newcastle
Also available on the Access Grid network (venue: UNewcastle).

Abstract

In his deathbed letter to G.H. Hardy, Ramanujan gave a vague definition of a mock modular function: at each root of unity its asymptotics matches the one of a modular form, though a choice of the modular function depends on the root of unity. Recently Folsom, Ono and Rhoades have proved an elegant result about the match for a general family related to Dyson’s rank (mock theta) function and the Andrews–Garvan crank (modular) function. In my talk I will outline some heuristics and elementary ingredients of the proof.

This talk will be broadcast using Access Grid Technology from The University of Newcastle. To participate in this seminar, book your University's AGR or a university/APAC etc. AGR that you are otherwise able to use. A listing of Access Grid nodes is available at: http://www.accessgrid.org/nodes.

This seminar notice is available on the AMSI Website: Events > AGR Events

Seminar Convenors

• Liangjin Yao liangjinyao@gmail.com
• Matthew Tam matthew.tam@uon.edu.au

If you (and your colleagues) wish to participate, please:

1. book your own AGR (or university/APAC etc. AGR that you otherwise are able to use), and ask your AGR technical people to use the new AG venue named CARMA (under the pre-existing UNewcastle venue), or contact David Allingham David.Allingham@newcastle.edu.au (the AGR technical person at Newcastle University) in advance of the seminar.
2. Advise the seminar convenor: Liangjin Yao (liangjinyao@gmail.com or: Matthew Tam

(matthew.tam@uon.edu.au)

Contact:

Ms Maaike Wienk
Access Grid Coordinator
Australian Mathematical Sciences Institute
Building 161, C/- The University of Melbourne, Victoria 3010 Australia
P: 03 8344 1776 | F: 03 9349 4106
E: agr@amsi.org.au | W: http://www.amsi.org.au/