IPM Calendar 
Monday 26 August 2019   Today  
Events for day: Wednesday 12 June 2019    
           09:00 - 18:00     Conference
26th IPM Physics Spring Conference (Day1)

School
ASTRONOMY

26th IPM Physics Spring Conference (Day1) ...

           11:00 - 13:00     Theoretical Neuroscience Journal Club
Phase Synchronization in a System of Swimmers

School
COGNITIVE SCIENCES

Venue:
School of Cognitive Sciences, Institute for Research in Fundamental Sciences (IPM),
Opposite the ARAJ, Artesh Highway, Tehran, Iran

Abstract:


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           16:00 - 17:15     Mathematics Colloquium
Reciprocity and Functoriality

School
MATHEMATICS

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 ...