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Ramanujan Conjecture and the Density Hypothesis - Shai Evra
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- 1 Intro
- 2 Arithmetic Spaces
- 3 Arithmetic Complexes
- 4 Purpose of this talk
- 5 Evolution of the Ramanujan Conjecture
- 6 Generalized Ramanujan Conjecture (GRC)
- 7 Generalized Ramanujan-Peterson Conjecture (GRPC)
- 8 Nahve Ramanujan Conjecture (NRC)
- 9 Samak-Xue Density Hypothes's (SXDH)
- 10 Samak-Xue Density Hypothesis (SXDH)
- 11 Remarks on (SXDH)
- 12 Automorphic Classification of General Linear Groups
- 13 Automorphic Classification of Classical Groups
- 14 Automorphic Genus
- 15 Claims and Eamples
- 16 Main Example