On the Quantum K-theory of the Quintic
发布时间：2021年04月19日
浏览次数：5412
发布者: He Liu
主讲人： Emanuel Scheidegger (Peking University)
活动时间： 从 2021-04-20 15:15 到 16:15
场地： 北京国际数学研究中心，全斋全29教室
Quantum cohomology is a deformation of the cohomology of a projective variety governed by counts of stable maps from a curve into this variety. Quantum K-theory is in a similar way a deformation of K-theory but also of quantum cohomology, It has recently attracted attention in physics since a realization in a physical theory has been found. Currently, both the structure and examples in quantum K-theory are far less understood than in quantum cohomology.
We will explain the properties of quantum K-theory in comparison with quantum cohomology, and we will discuss the examples of projective space and the quintic hypersurface in P^4.
