MINI COURSE

TITLE
Model Theory, Motivic Integration, and Zeta Function

SPEAKER
Jamshid Derakhshan
University of Oxford

TIME
 Saturday, July 15, 2017, 11:00 - 12:30 Saturday, July 15, 2017, 14:00 - 15:30 Saturday, July 15, 2017, 16:00 - 17:30

VENUE   Lecture Hall 1, Niavaran Bldg.

SUMMARY
 I will first give an introduction to the model theory of fields with valuations (for example the $p$-adic numbers), and the theory of $p$-adic and motivic integration. I will then consider the case of number fields, and present results on Dirichlet series and zeta functions which are Euler products of local integals, and give applications to some questions on algebraic groups, and rational points on algebraic varieties.