124 citations · 189 across the 24 of their papers we have counts for
18 papers · 1 filter
Motivic factorisation of KZ local systems and deformations of representation and fusion rings
Prakash Belkale, Najmuddin Fakhruddin, Swarnava Mukhopadhyay
Let be a simple Lie algebra over . The KZ connection is a connection on the constant bundle associated to a set of finite dimensional irreducible rep…
Conformal blocks in genus zero and the KZ connection
Prakash Belkale, Najmuddin Fakhruddin
We survey some recent work on conformal blocks in genus zero, focussing on (1) Chern classes, global generation and morphisms, and (2) the Knizhnik--Zamolodchikov connection on con…
Singularities of local models
Najmuddin Fakhruddin, Thomas Haines, João Lourenço +1
We construct local models of Shimura varieties and investigate their singularities, with special emphasis on wildly ramified cases. More precisely, with the exception of odd unitar…
Finite groups scheme actions and incompressibility of Galois covers: beyond the ordinary case
Najmuddin Fakhruddin, Rijul Saini
Inspired by recent work of Farb, Kisin and Wolfson, we develop a method for using actions of finite group schemes over a mixed characteristic dvr R to get lower bounds for the esse…
Fixed points, local monodromy, and incompressibility of congruence covers
Patrick Brosnan, Najmuddin Fakhruddin
We prove a fixed point theorem for the action of certain local monodromy groups on étale covers and use it to deduce lower bounds in essential dimension. In particular, we give mor…
Finite group schemes of essential dimension one
Najmuddin Fakhruddin
We prove that if a finite group scheme over a field has essential dimension one, then it embeds in . We use this to give an explicit classification of all infini…