26 citations · 58 across the 33 of their papers we have counts for
6 papers · 1 filter
Exponential sums and total Weil representations of finite symplectic and unitary groups
Nicholas M. Katz, Pham Huu Tiep
We construct explicit local systems on the affine line in characteristic , whose geometric monodromy groups are the finite symplectic groups for all , an…
Monodromy groups of certain Kloosterman and hypergeometric sheaves
Nicholas M. Katz, Pham Huu Tiep
A certain "condition (S)" on reductive algebraic groups was introduced in [GT2], in which a slightly stronger condition (S+) was shown to have very strong consequences. We show tha…
A rigid local system with monodromy group the big Conway group 2.Co_1 and two others with monodromy group the Suzuki group 6.Suz
Nicholas M. Katz, Antonio Rojas-León, Pham Huu Tiep
In the first three sections, we develop some basic facts about hypergeometric sheaves on the multiplicative group in characteristic . In the fourth and fifth…
Rigid local systems with monodromy group the Conway group Co_2
Nicholas M. Katz, Antonio Rojas-León, Pham Huu Tiep
We first develop some basic facts about hypergeometric sheaves on the multiplicative group in characteristic . Certain of their Kummer pullbacks extend to irr…
Rigid local systems with monodromy group the Conway group Co_3
Nicholas M. Katz, Antonio Rojas-León, Pham Huu Tiep
We first develop some basic facts about certain sorts of rigid local systems on the affine line in characteristic . We then apply them to exhibit a number of rigid local syste…
Rigid local systems and alternating groups
Robert M. Guralnick, Nicholas M. Katz, Pham Huu Tiep
In earlier work, Katz exhibited some very simple one parameter families of exponential sums which gave rigid local systems on the affine line in characteristic p whose geometric (a…