Kavli Affiliate: Hiraku Nakajima | First 5 Authors: Alexander Braverman, Michael Finkelberg, Hiraku Nakajima, , | Summary: We deduce the Kazhdan-Lusztig conjecture on the multiplicities of simple modules over a simple complex Lie algebra in Verma modules in category O from the equivariant geometric Satake correspondence and the analysis of torus fixed points in zastava […]
Kavli Affiliate: Hiraku Nakajima | First 5 Authors: Alexander Braverman, Michael Finkelberg, Hiraku Nakajima, , | Summary: We deduce the Kazhdan-Lusztig conjecture on the multiplicities of simple modules over a simple complex Lie algebra in Verma modules in category O from the equivariant geometric Satake correspondence and the analysis of torus fixed points in zastava […]
Kavli Affiliate: Andrei Okounkov | First 5 Authors: Andrei Okounkov, , , , | Summary: 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 construction to equivariant K-theory. | […]
Kavli Affiliate: David Spergel | First 5 Authors: Sigurd Naess, Simone Aiola, Jason E. Austermann, Nick Battaglia, James A. Beall | Summary: This paper presents a maximum-likelihood algorithm for combining sky maps with disparate sky coverage, angular resolution and spatially varying anisotropic noise into a single map of the sky. We use this to merge […]
Kavli Affiliate: David Spergel | First 5 Authors: Daniel Tamayo, Miles Cranmer, Samuel Hadden, Hanno Rein, Peter Battaglia | Summary: We combine analytical understanding of resonant dynamics in two-planet systems with machine learning techniques to train a model capable of robustly classifying stability in compact multi-planet systems over long timescales of $10^9$ orbits. Our Stability […]
Kavli Affiliate: Naoki Yasuda | First 5 Authors: John D. Silverman, Shenli Tang, Khee-Gan Lee, Tilman Hartwig, Andy Goulding | Summary: The unique combination of superb spatial resolution, wide-area coverage, and deep depth of the optical imaging from the Hyper Suprime-Cam (HSC) Subaru Strategic Program is utilized to search for dual quasar candidates. Using an […]
Kavli Affiliate: Mihoko Nojiri | First 5 Authors: Keisuke Fujii, Christophe Grojean, Michael E. Peskin, Tim Barklow, Yuanning Gao | Summary: To aid contributions to the Snowmass 2021 US Community Study on physics at the International Linear Collider and other proposed $e^+e^-$ colliders, we present a list of study questions that could be the basis […]
Kavli Affiliate: Mihoko Nojiri | First 5 Authors: Keisuke Fujii, Christophe Grojean, Michael E. Peskin, Tim Barklow, Yuanning Gao | Summary: To aid contributions to the Snowmass 2021 US Community Study on physics at the International Linear Collider and other proposed $e^+e^-$ colliders, we present a list of study questions that could be the basis […]
Kavli Affiliate: Mihoko Nojiri | First 5 Authors: Keisuke Fujii, Christophe Grojean, Michael E. Peskin, Tim Barklow, Yuanning Gao | Summary: To aid contributions to the Snowmass 2021 US Community Study on physics at the International Linear Collider and other proposed $e^+e^-$ colliders, we present a list of study questions that could be the basis […]
Kavli Affiliate: Toshiyuki Kobayashi | First 5 Authors: Toshiyuki Kobayashi, , , , | Summary: Geometric symmetry induces symmetries of function spaces, and the latter yields a clue to global analysis via representation theory. In this note we summarize recent developments on the general theory about how geometric conditions affect representation theoretic properties on function […]