|Monday 17 June 2019|
|Events for day: Wednesday 12 June 2019|
| 09:00 - 18:00 Conference|
26th IPM Physics Spring Conference (Day1)
26th IPM Physics Spring Conference (Day1) ...
11:00 - 13:00 Theoretical Neuroscience Journal Club
Phase Synchronization in a System of Swimmers
School of Cognitive Sciences, Institute for Research in Fundamental Sciences (IPM),
Opposite the ARAJ, Artesh Highway, Tehran, Iran
>> Poster of this session
16:00 - 17:15 Mathematics Colloquium
Reciprocity and Functoriality
I will discuss some number theoretic background to explain classical reciprocity laws of number theory. This will be an introduction to non-abelian reciprocity which generalizes Artin reciprocity map. I will do this in terms of complex representations of local Galois groups which are to parametrize irreducible admissible representations of GL(n,F), where F is a local field. This is called the Local Langlands correspondence (LLC) for GL(n) which has been established by Harris-Taylor, Henniart and Scholze in various forms. I will mention recent results in matching of different arithmetic (Artin) root numbers and L-functions with analytic ones ...