數學系學術講座(一)

發布時間: 2022-01-04 來源: 太阳集团1088vip

題 目:Resurgent theory from the QFT perspective

内容簡介:Resurgent theory was originally developed by French mathematician Jean Ecalle to prove Dulac conjecture about finiteness of limiting cycles in ODEs, and it immediately found applications in quantum mechanics which is now called exact WKB analysis. The theory develops steadily during last three decades with many beautiful algebraic structures unrivaled. Recently, it exerts many activities in quantum field theory and topological string theory. In this talk, I will review the basics of resurgence theory including alien derivatives and transseries, then a typical interplay with gauge theory, namely the Witten-Reshetikhin-Turaev (WRT) invariants in Chern-Simons theory. The talk is partially based on joint works with Li HAN, Yong LI and David SAUZIN.

報告人:孫善忠

報告人簡介:首都師範大學教授、博導,博士畢業于南開大學,研究方向為辛幾何與辛拓撲、天體力學、數學物理,曾多次主持國家自然科學基金項目、參與國家自然科學基金重點項目,在《Advances in Math.》《Comm. in Math. Phys.》等一流學術期刊上發表多篇論文。

時 間:202216(周四)  上午10001130

地 點:騰訊在線會議  會議ID130-119-153  會議密碼:220106

 

 

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