REMINDER: PhD Course at SISSA - Starts 31 March 2025, at 14:00 - VENUE: SISSA - Room 136 (Via Bonomea, 265) - Don B. Zagier

[ICTP Math Section]

_PhD Course at SISSA "From quadratic forms to modular forms to quantum 
modular forms"
_


VENUE: SISSA - Room 136
Via Bonomea, 265, 34136 Trieste

The lectures start Monday, March 31, 2025 at 2p.m. in room 136 at SISSA 
(via Bonomea, 265), and will continue on Mondays and Fridays at 2pm in 
Room 136 until Monday, May 19, 2025.

https://www.math.sissa.it/course/phd-course/quadratic-forms-modular-forms-quantum-modular-forms

Description:

The theory of quadratic forms and the theory of modular forms are two of 
the pillars of classical number theory. Serre's famous advanced 
introductory text "Cours d'Arithmétique" consisted of two parts, an 
algebraic part on  quadratic forms and an analytic part leading to the 
theory of modular forms. The course will provide an introduction to some 
of the main parts of both theories and discuss both the classical 
connections between them (such as  the theory of theta functions, which 
are used in coding theory and many other parts of mathematics) and 
several more recent but also very interesting ones. The last part of the 
course will introduce the relatively recent notion of quantum modular 
forms, with many examples, ranging from odd weight Eisenstein series to 
quantum invariants of knots and 3-dimensional manifolds. Everything will 
be presented from the beginning, with no prerequisites beyond standard 
topics like Cauchy's theorem.

/ICTP's shuttle service to SISSA operates Monday - Friday, at 13:30.
ICTP departures are from the Leonardo Building parking lot.

For people who work at the ICTP, we remind you to reserve a seat 24 
hours in advance by sending a request to: transportation at ictp.it and 
info_pt at ictp.it The Transportation or Info Point will confirm the 
reservation based on availability.

https://indico.ictp.it/event/11001/
/

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

For to be free is not merely to cast off one's chains, but to live in a way
that respects and enhances the freedom of others. Nelson Mandela