Time and Room:   Monday  1:30 pm -3:00 pm   BRNG 1206

Schedule: 

1. Aug 24th: Speaker: Tong Liu : Overview BGK paper

2. Aug 31th: Speaker: Michael Wills: Review of crystalline and semisimple mod p representations of G_Q_p

    Title: Introduction to crystalline and mod-p representations

Abstract: Arbitrary representations over Z_ell of the absolute Galois group of Q_p can be difficult to characterize when ell = p, in part because their reduction modulo p does not preserve the action of wild inertia. For an interesting subcategory of these, the crystalline representations, the action of inertia may be described via a filtration on a Qp-vector space.  A recent preprint of Bhatt--Gee--Kisin describes a connection between a crystalline representation's associated filtration and the representation's reduction modulo p. This talk is the second in a learning seminar aimed at understanding this preprint, and will introduce the basics of both crystalline and mod-p representations of Q_p.

3. Sept 14th: Speaker: Ruipeng Zou: Affine Weyl groups and affine Grassmannians

References: 

1. Bhatt Gee and Kisin: Reduction modulo p of crystalline Galois representations via μ_p-equivariance. 

2.