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Abstract We study conjectures of Ben-Zvi–Sakellaridis–Venkatesh that categorify the relationship between automorphic periods andL-functions in the context of the Geometric Langlands equivalence. We provide evidence for these conjectures in some low-rank examples, by using derived Fourier analysis and the theory of chiral algebras to categorify the Rankin-Selberg unfolding method.
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Principal Blocks for Different Primes, II
Abstract IfGis a finite group, we have proposed three new conjectures on the interaction between different primes and their corresponding Brauer principal blocks. In this paper,we give strong support to the validity of Conjectures B and C.
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- Award ID(s):
- 2100912
- PAR ID:
- 10384404
- Publisher / Repository:
- Springer Science + Business Media
- Date Published:
- Journal Name:
- Vietnam Journal of Mathematics
- Volume:
- 51
- Issue:
- 3
- ISSN:
- 2305-221X
- Page Range / eLocation ID:
- p. 589-604
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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