华罗庚青年数学论坛综合报告：SU(2) representations of small Dehn surgeries on knots

中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人： 叶帆  博士 （哈佛大学）

题  目： SU(2) representations of small Dehn surgeries on knots

时  间：2023.07.21（星期五），09:00-10:00

地  点：数学院南楼N913

摘 要：Kronheimer-Mrowka proved that the fundamental group of r-surgery on a nontrivial knot for |r|<=2 always has an irreducible SU(2) representation, which answered the property P conjecture affirmly. They asked the case of r=3 and 4. The case r=4 was solved by Baldwin-Sivek and the case r=3 was solved by Baldwin-Li-Sivek-Ye. In this talk, I will describe the strategy of the proofs using instanton Floer homology.