报告题目: |
拓扑量子场论和镜像对称 |
报告人: |
范辉军 |
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北京大学数学学院 副教授
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报告时间: |
2008-10-09 16:00 |
报告地点: |
理科楼1304报告厅 |
主办单位: |
数学科学系 |
简介: |
2D topological quantum field theory (2D TFT) was invented by E. Witten and has huge influence on mathematics. In closed string theory, one realization comes from the supersymmetric Calabi-Yau sigma-model which corresponds to the Gromov-Witten theory in symplectic topology and the other realization comes from the Landau-Ginzburg model which corresponds to the quantum singularity theory invented by Fan-Jarvis-Ruan. In either side, there is analogous quantum structure and the mirror symmetry phenomena. In open string case, things will become more complicated. 2D TFT will be related to the category of D-branes and its algebraic structures. One central problem is the Homological Mirror symmetry conjecture proposed by M.Konstevich. I will talk about the problems and recent progress in this field. |
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