19 citations · 26 across the 6 of their papers we have counts for
7 papers
The Margulis Zimmer Conjecture for Nonuniform Arithmetic Groups
Yehuda Shalom, Tyakal Venkataramana, George Willis
We prove that every infinite subgroup of a higher rank irreducible lattice in a semi-simple Lie group has finite index in the lattice, proving the Margulis-Zimmer conjecture for th…
Differential Equations and Monodromy
Tyakal N. Venkataramana
In these expository notes, we describe results of Cauchy, Fuchs and Pochhammer on differential equations. We then apply these results to hypergeometric differential equation of typ…
The congruence topology, Grothendieck duality and thin groups
Alexander Lubotzky, T. N. Venkataramana
This paper answers a question raised by Grothendieck in 1970 on the "Grothendieck closure" of an integral linear group and proves a conjecture of the first author made in 1980. Thi…
Hypergeometric Groups of Orthogonal Type
Tyakal Venkataramana
We obtain an infinite family of orthogonal hypergeometric groups, which are higher rank arithmetic groups. We also list cases of arithmetic hypergeometric groups whose real Zariski…
Image of the Burau Representation at -th Roots of unity
Tyakal N. Venkataramana
We prove that the image of the Full braid group on strands under the Burau representation, evaluated at a primitive -th root of unity is arithmetic provided $n\g…
Discrete Components of Some Complementary Series (II)
T. N. Venkataramana B. Speh
We show that complementary series of SO(n,1) which are sufficiently close to a cohomological representation in the Fell topology, upon restriction to SO(n-1,1), contain discretely,…
Discrete Components of Some Complementary Series
T. N. Venkataramana, B. Speh
We show that complementary series representations of SO(n,1) contain discretely complementary series of SO(m,1) provided the continuous parameter is sufficiently close to the first…