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京东 11.11 红包
Anton Alekseev:组合量子化和flat connections的模空间的Batalin-Vilkovisky结构——1
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https://www.youtube.com/watch?v=XmMI3vClIjc NCCR SwissMAP Combinatorial quantization and BV structures of moduli of flat connections 1/2, A. Alekseev (UNIGE) Quantisation of moduli spaces from different perspectives In these two lectures, we will start by recalling the definition and properies of Goldman brackets and of the Fock-Rosly bivector on the representation space of a fundamental group of an oriented surface. We will then sketch a combinatorioal quantization scheme for modulis paces inspired by the Faddeev-Reshetikhin-Takhtajan (FRT) presentation of quantum groups, and we will point out some links to other quantization schemes. If time permits, we will also discuss the notion of Turaev cobracket and its relation to Batalin-Vilkovisky (BV) structures on moduli spaces. These lectures are based on joint works with H. Grosse, F. Naef, J. Pulmann, V. Schomerus and P. Severa. Anton Alekseev, Florian Naef, Ján Pulmann, Pavol Ševera——“Batalin-Vilkovisky structures on moduli spaces of flat connections”:https://doi.org/10.1016/j.aim.2024.109580 Anton Yu. Alekseev, Harald Grosse & Volker Schomerus——“Combinatorial quantization of the Hamiltonian Chern-Simons theory I”:https://doi.org/10.1007/BF02099431 Anton Yu. Alekseev, Harald Grosse & Volker Schomerus——“Combinatorial quantization of the Hamiltonian Chern-Simons theory II”:https://doi.org/10.1007/BF02101528 Anton Yu. Alekseev & Volker Schomerus——“The chern-simons theory and quantized moduli spaces of flat connections”:https://doi.org/10.1007/BFb0102550 A. Alekseev & E. Meinrenken——“On the Kashiwara–Vergne conjecture”:https://doi.org/10.1007/s00222-005-0486-4 Anton Alekseev, Charles Torossian——“The Kashiwara-Vergne conjecture and Drinfeld’s associators”:https://doi.org/10.4007/annals.2012.175.2.1 A. Alekseev, B. Enriquez & C. Torossian——“Drinfeld associators, Braid groups and explicit solutions of the Kashiwara–Vergne equations”:https://doi.org/10.1007/s10240-010-0029-4
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