124 citations · 189 across the 24 of their papers we have counts for
28 papers
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…
Trianguline lifts of global mod Galois representations
Najmuddin Fakhruddin, Chandrashekhar Khare, Stefan Patrikis
We show that under a suitable oddness condition, irreducible mod representations of the absolute Galois group of an arbitrary number field have characteristic zero lifts which…
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…
Lifting and automorphy of reducible mod p Galois representations over global fields
Najmuddin Fakhruddin, Chandrashekhar Khare, Stefan Patrikis
We extend the lifting methods of our previous paper to lift reducible odd representations of Galois groups of global fields valued…