P-adic integration

During Spring 2014 the geometry working seminar in MAA110 will focus on p-adic integration. The aim is to introduce various forms of p-adic integration: Weil's and Igusa's theory of integration of gauge forms on a p-adic variety, Coleman's theory of p-adic line integration and the geometric theory of motivic integration. 

Papers and books:

We are planning to discuss material from the following papers and books:           

Avni, Aizenbud "Representation growth and singularities of the moduli space of local systems"

Coleman, R. Various Inventiones papers, somewhat difficult to find.

Colmez, P. Intégration sur les variétés p-adiques, Asterisque 248

Seminars

19 February,  4-5pm Tamas Hausel "Why p-adic integration: arithmetic of integrable systems",  

19 February, 5-6pm Nathan Scheinmann "Finding caps in $AG(3,d)$: An infinite family of examples."

26 February, 4-6pm Hunter Brooks "Push forward of smooth measures"

5 March, 4-5pm Jochen Heinloth "An introduction to the geometric Langlands program I"

5 March, 5-6pm Dimitri Wyss "Birational Calabi--Yau n-folds have equal Betti numbers"

12 March, 4-5pm Jochen Heinloth "An introduction to the geometric Langlands program II"

12 March, 5-6pm Zongbin Chen "Around the orbital integrals"

19 March, 4-5pm Jochen Heinloth "An introduction to the geometric Langlands program III"

19 March, 5-6pm Ben Davison "Motivic measures and the Hodge numbers of resolutions of singularities"

26 March, 4-5pm Jochen Heinloth "An introduction to the geometric Langlands program IV"

26 March, 5-6pm Victor Batyrev "The non-Archimedean motivic integration and the orbifold cohomology"

2 April, 4-6pm Dimitar Jetchev   "p-adic integration and the method of Coleman/Chabauty for computing rational points on curves of genus at least 2"

16 April, 4-6pm Alexei Oblomkov "Knot homology, curve singularities and Cherednik algebras"

30 April, 4-6pm Alexei Oblomkov "Affine Springer Fibers and the rational Cherednik algebras"

7 May, 4-6pm Philip Boalch "Wild mapping class groups"

20 May, 4-6pm Philip Boalch "Global Weyl groups"

4 June, 4-6pm Dimitar Jetchev "p-adic integration and the method of Coleman/Chabauty for computing rational points on curves of genus at least 2, part II"