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6 votes
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265 views

drinfeld shtukas over higher dimensional spaces

Everytime I encounter Drinfeld Shtukas, the definition begins with vector bundles over a curve $X$ over a finite field. My question is: why the restriction to curves? Is there any interest or results ...
usr0192's user avatar
  • 785
6 votes
0 answers
339 views

Is there an integral pairing between quaternionic Hecke algebras and cusp forms?

Let $F$ be a totally real number field with integers $\mathcal{O}_F$ and $B$ a quaternion algebra over $F$ split at exactly one infinity place.Fix $n\geq 1$ and like in the special case $F=\mathbb{Q}, ...
Konrad's user avatar
  • 469
5 votes
0 answers
163 views

Uniqueness of cohomological holomorphic discrete series representation

In Claus Sorenson's PhD thesis, he proves a theorem about level lifting of paramodular forms whose associated automorphic representation has component $\pi_{\infty}$ that is the "cohomological ...
Watson Ladd's user avatar
  • 2,429
4 votes
0 answers
206 views

Higher dimensional generalization of an identity between traces of Hecke operators and number of elliptic curves over finite fields?

In http://www.math.ubc.ca/~behrend/ladic.pdf, the author uses his generalization of Lefschetz trace formula to smooth algebraic stacks to prove an interesting identity (Proposition 6.4.11.): $\sum_{k}...
Zhiyu's user avatar
  • 6,622
2 votes
0 answers
201 views

Shintani's unpublished paper on automorphic forms

I'm trying to find Shintani's preprint: Shintani T., On automorphic forms on unitary groups of order 3, unpublished, 1979. It seems to be impossible to find, even though several authors quote it. I ...
Fra's user avatar
  • 91