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Abstract: The fundamental object of the Gromov-Witten theory is the notation of a stable map to a target Kahler/Symplectic manifold. In LG A-model in physics, the target carries an additional C* action called R-charge. It twisted the notation of the map in the so-called gauged linear sigma model. Furthermore, its moduli space is noncompact even with stability condition. In the talk, we will introduce the notation of R-map. The effort to compactify it leads to the theory of Logarithmic R-maps. This is a joint work with Qile Chen and Felix Janda.
Bio: Yongbin Ruan is currently a professor at IAS of Zhejiang University and is a world well-known mathematician. He was selected as an Academician of the Chinese Academy of Sciences in 2021. He works in the field of symplectic geometry and mathematical physics. He was the founder of many famous theories in mathematics, like (orbifold) Gromov-Witten theory, relative Gromov-Witten theory, Chen-Ruan cohomology and Fan-Jarvis-Ruan-Witten theory. He has made great contributions to the resolution of many famous conjectures, like the Arnold conjecture, the generalized Witten conjecture and LG/CY correspondence conjectures.
*This talk is a part of the International Conference "GEOMETRY, GROUPS, OPERATOR ALGEBRAS, AND INTEGRABILITY 2022", supported by the Moscow Center of Fundamental and Applied Mathematics
https://ggoi2022.mathcenter.ru/#schedule
