【余 越】2023年4月24日中法班讨论班系列报告006

发布者:徐月发布时间:2023-04-17浏览次数:49

题目:Mirror structure constants via non-archimedean analytic disks

报告人:余越,加州理工大学

时间:2023年4月24日(周一)8:30-10:00

地点:东区第五教学楼5307教室

Join Zoom Meeting

https://caltech.zoom.us/j/88686737010?pwd=bVFCZFAwdnFlQ1B1WXVnYnBUUXF3dz09

Meeting ID: 886 8673 7010,Passcode: 123456

摘要: For any smooth affine log Calabi-Yau variety U, we construct the structure constants of the mirror algebra to U via counts of non-archimedean analytic disks in the skeleton of the Berkovich analytification of U. This generalizes our previous construction with extra toric assumptions. The technique is based on an analytic modification of the target space as well as the theory of skeletal curves.Consequently, we deduce the positivity and integrality of the mirror structure constants. If time permits, I will discuss further generalizations and virtual fundamental classes. Joint work with S. Keel.