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报告题目：Fredholm Theory for Real Pseudoholomorphic Curves in Symplectization

报告人：周贝加（北京大学）

摘要：In the symplectization of a contact manifold, people can consider the Symplectic Field Theory (SFT) in all odd dimensions and Embedded Contact Homology (ECH) in dimension 3. Because there is Real Gromov-Witten Theory and Real Seiberg-Witten Theory, it is a natural idea that Real SFT and Real ECH should exist. The first step to construct those theories is to get Fredholm index for moduli space of real pseudoholomorphic curves in symplectization. By this formula of Fredholm index, we can get parallel index inequalities for real pseudoholomorphic curves as in ECH, which is crucial to define Real ECH. I will give and explain the formula of Fredholm index and index inequalities. Other parts of the project of define Real SFT and Real ECH will be mentioned as well.

报告时间：2023年03月28日（周二）上午10:30-11:30

报告地点：首都师范大学本部新教二楼827教室

联系人：孙善忠