School of Mathematics Colloquium

Endomorphism Algebras of modular motives

by Mr. Debargha Banerjee (TIFR)

Thursday, July 15, 2010 from to (Asia/Kolkata)
at Colaba Campus ( AG-69 )
Description
Let $f = \sum_{n = 1}^\infty a_n  q^n$ be a primitive non-CM(non dihedral for weight one) cusp form of weight $k \geq 1$, level $N \geq 1$ and  and character $\epsilon$, and $M_f$ be the motive attached to $f$. 
................contd................. In this talk
we will give a complete description of the Brauer class of $X_f$ in terms of the slopes of the adjoint lift of $f$, under a finiteness hypothesis on these slopes. We also extend the above results to the simpler case of non-dihedral modular forms of weight one, where the Grothendieck motive is replaced by an Artin motive. 
Organised by Aravindakshan T