Titlebook: Dialogues Between Physics and Mathematics; C. N. Yang at 100 Mo-Lin Ge,Yang-Hui He Book 2022 The Editor(s) (if applicable) and The Author(s

HAIL

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https://doi.org/10.1007/978-94-009-2077-4The basic ideas of twistor theory are outlined, explaining their role in describing classical and quantum massless particles/fields with spin (-helicity), relating this fundamentally to the twistor canonical commutation relations. It is shown that this quantum twistor algebra carries a previously un-noticed split-octonion algebra and . structure.

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https://doi.org/10.1007/978-94-009-2077-4We study quantum field theories in which the number of degrees of freedom changes discontinuously across the momentum space. This discontinuity which we call “Kronecker anomaly” leads to non-local effective actions and can be represented as a theory with the random, self-tuning coupling constants.

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The Potts Model, the Jones Polynomial and Link Homology,In the paper we explore how the Potts model in statistical mechanics is related to the Temperley-Lieb algebra, the Jones polynomial and Khovanov homology. This exploration is made possible because the underlying combinatorics for the bracket state sum for the Jones polynomial is shared by the Potts model for planar graphs.

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Kronecker Anomalies and Gravitational Striction,We study quantum field theories in which the number of degrees of freedom changes discontinuously across the momentum space. This discontinuity which we call “Kronecker anomaly” leads to non-local effective actions and can be represented as a theory with the random, self-tuning coupling constants.

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A Stacky Approach to Crystals,ss of schemes goes back to Berthelot-Messing and contains all smooth schemes over perfect fields of characteristic .. To treat isocrystals, we prove some descent theorems for sheaves of Banachian modules, which could be interesting in their own right.

矛盾

Global Perspectives on Higher Education the C. N. Yang Institute upon his retirement from Stony Brook in 1998). The author was his deputy director for a decade, and succeeded him as director, to be succeeded in turn by George Sterman who is still at present the director. In this contribution in honor of “the sage of Stony Brook” (Dyson’s

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Ying Cheng,Qi Wang,Nian Cai Liuss of schemes goes back to Berthelot-Messing and contains all smooth schemes over perfect fields of characteristic .. To treat isocrystals, we prove some descent theorems for sheaves of Banachian modules, which could be interesting in their own right.

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