Zobrazeno 1 - 10
of 196
pro vyhledávání: '"Okounkov, Andrei"'
Autor:
Kazhdan, David, Okounkov, Andrei
We introduce equivariant L-genera associated to actions of Galois and related groups on algebraic varieties. We explain the role which these L-genera play in the spectral analysis of Eisenstein series. We also discuss the natural categorification of
Externí odkaz:
http://arxiv.org/abs/2311.17747
Autor:
Okounkov, Andrei
This is a popular article about the work of June Huh, 2022 Fields medalist.
Comment: To appear in Proceedings of the ICM 2022 copyright International Mathematical Union
Comment: To appear in Proceedings of the ICM 2022 copyright International Mathematical Union
Externí odkaz:
http://arxiv.org/abs/2207.03875
Autor:
Okounkov, Andrei
This is a popular article about the work of Hugo Duminil-Copin, 2022 Fields medalist.
Comment: To appear in Proceedings of the ICM 2022 copyright International Mathematical Union
Comment: To appear in Proceedings of the ICM 2022 copyright International Mathematical Union
Externí odkaz:
http://arxiv.org/abs/2207.03874
Autor:
Okounkov, Andrei
This is a popular article about the work of Maryna Viazovska, 2022 Fields medalist.
Comment: To appear in Proceedings of the ICM 2022 copyright International Mathematical Union
Comment: To appear in Proceedings of the ICM 2022 copyright International Mathematical Union
Externí odkaz:
http://arxiv.org/abs/2207.03871
Autor:
Okounkov, Andrei
This is a popular article about the work of James Maynard, 2022 Fields medalist.
Comment: To appear in Proceedings of the ICM 2022 copyright International Mathematical Union
Comment: To appear in Proceedings of the ICM 2022 copyright International Mathematical Union
Externí odkaz:
http://arxiv.org/abs/2207.03867
Autor:
Kazhdan, David, Okounkov, Andrei
For a split reductive group ${}^L G$ over a global field, we determine the spectrum of the spherical Hecke algebra coming from the unramified Eisenstein series for the minimal parabolic ${}^L B$. This is done using a certain decomposition of the Spri
Externí odkaz:
http://arxiv.org/abs/2203.03486
Autor:
Okounkov, Andrei
We generalize the construction of elliptic stable envelopes to actions of connected reductive groups and give a direct inductive proof of their existence and uniqueness in a rather general situation. We show these have powerful enumerative applicatio
Externí odkaz:
http://arxiv.org/abs/2010.13217
Autor:
Okounkov, Andrei
We revisit the construction of stable envelopes in equivariant elliptic cohomology [arXiv:1604.00423] and give a direct inductive proof of their existence and uniqueness in a rather general situation. We also discuss the specialization of this constr
Externí odkaz:
http://arxiv.org/abs/2007.09094
Publikováno v:
Comm. Math. Phys. 374 (2020), no. 3, 1321--1359
We propose an explicit formula for the GW/PT descendent correspondence in the stationary case for nonsingular projective 3-folds. The formula, written in terms of vertex operators, is found by studying the 1-leg geometry. We prove the proposal for al
Externí odkaz:
http://arxiv.org/abs/1806.00714
Autor:
Okounkov, Andrei
These are the notes for my 2017 Takagi lectures on DT counts of curves in algebraic threefolds. We discuss the fundamentals of the subject, its origins, open questions, and certain recent advances.
Comment: 78 pages, to appear in Japanese Journa
Comment: 78 pages, to appear in Japanese Journa
Externí odkaz:
http://arxiv.org/abs/1802.00779