报告题目：Randompartition meets reflection symmetry: the power of thermodynamic limit
报 告 人：李晓斌
报告时间：2024年11月10日（星期日）14：30-16：30
报告地点：数学科学学院205 报告摘要：In thistalk, I will focus on 5d N=1 Sp(N) gauge theory with Nf(≤2N+3) flavors based on 5-brane web with O5-plane. Based on 5-braneweb with O5-plane corresponding to non-toric geometry, we compute the Nekrasovpartition function based on the topological vertex formalism with O5-plane.Rewriting it in terms of profile functions, we obtain the saddle point equationfor the profile function after taking thermodynamic limit. By introducing theresolvent, we derive the Seiberg-Witten geometry and its boundary conditions aswell as its relation to the prepotential in terms of the cycle integrals. Theycoincide with those directly obtained from the dual graph of the 5-brane webwith O5-plane. This agreement gives further evidence for mirror symmetry whichrelates Nekrasov partition function with Seiberg-Witten curve in the case withorientifold plane. This talk is based on joint work with Futoshi Yagi. 

专家简介：李晓斌博士毕业于四川大学，现任教于西南交通大学。主要研究整体微分几何中与轨道流形相关的拓扑不变量（如Gromov-Witten不变量等），这也是代数几何、辛拓扑与数学物理的交叉。主要研究基于Gromov-Witten不变量的Ruan猜想（又称爬行变换猜想，英文名为Crepant Transformation Conjecture）及广义Nekrasov猜想，其研究工作得到了国家自然科学基金委及国家留学基金委的资助。

编辑：数学科学学院