Endoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds

By R. Weissauer. 2009

110 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8550fd5e30e698a8310d26d20a7d2122ad7f45f6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Carel Faber
2. Ralf Schmidt
3. Ameya Pitale
4. Gerard van der Geer
5. Abhishek Saha
6. Jonas Bergström

In Geometry and Topology

1. Carel Faber
2. Abhishek Saha
3. Ameya Pitale
4. Jonas Bergström
5. Ralf Schmidt
6. Gerard van der Geer
7. R. Pandharipande
8. R. Pries

In Mathematical Physics

1. Abhishek Saha
2. Ameya Pitale
3. Carel Faber
4. Ralf Schmidt
5. Gerard van der Geer
6. Jonas Bergström
7. R. Pandharipande
8. R. Pries

Citations in the corpus

• Transfer of Siegel Cusp Forms of Degree 2 (2011, methodology): “Recalling that α, β, γ, δ originate from the Satake parameters of a holomorphic Siegel cusp form, the Ramanujan conjecture for such modular forms, proven in [90], implies that |α| = |β| = |γ| = |δ| = 1.”
• Packet structure and paramodular forms (2017, background): “3 of [24], the Ramanujan conjecture holds at all good places, implying that the Satake parameters of πp have absolute value 1 for all p N (since π can be transferred to a cuspidal representation on GL(4,A), we can alternatively apply the main result of [5]).”
• Siegel modular forms of degree three and the cohomology of local systems (2011, background): “The group GSp2g has been investigated by several people, see for instance the references [41, 42, 46, 56].”