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math.AT2024★ 3 cited
The Smith Fiber Sequence and Invertible Field Theories
Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski +3
Smith homomorphisms are maps between bordism groups that change both the dimension and the tangential structure. We give a completely general account of Smith homomorphisms, unifyi…
math.RT2024
Derived geometric Satake for
Sanath K. Devalapurkar
In this note, we study the local relative geometric Langlands conjecture of Ben-Zvi--Sakellaridis--Venkatesh for the spherical subgroup of the triple…
math.AT2024
ku-theoretic spectral decompositions for spheres and projective spaces
Sanath K. Devalapurkar
Ben-Zvi--Sakellaridis--Venkatesh described a conjectural extension of the geometric Satake equivalence to spherical varieties, whose spectral decomposition is described by Hamilton…