About
This is an undergraduate student seminar on geometry and topology. This semester, we will be working from Scorpan's The wild world of 4-manifolds. We meet on Thursdays 4:20–6:10 pm in Liyuan 1-203.
Here is a course description if you wish to register for credit.
Talks
Mar 11 '21, Wenbo Liao, Introduction to h-cobordism theorem and Poincare conjecture
Mar 18, '21, Jinghao Yu, Handle decomposition, notes
Mar 25 '21, Ruoyu Xu, The Whitney trick
Apr 1, '21, Xiabing Ruan, Topological h-cobordism theorem for 4-manifolds, notes
Apr 8, '21, Siyu Cen, Homology 3-spheres bound fake 4-balls
Apr 15, '21, Yuqing Xing, Intersection forms
Apr 22, '21, Yuqing Xing, Intersection forms (cont'd), notes
Apr 29, '21, Changqian Li, K3 surfaces, notes
May 6, '21, Siyu Cen, Whitehead's theorem and homotopy type
May 13, '21, Pengcheng Li, Wall's theorems and h-cobordisms
May 20, '21, Yidan 307, Pengcheng Li, Wall's theorems and h-cobordisms (cont'd), notes
Jun 9, '21, 10 am-12 pm, Yidan 307, Wenbo Liao, Characteristic classes and spin structures, notes
Jun 23, '21, 3-5 pm, Yidan 307, Wenbo Liao and Xiabing Ruan, Characteristic classes and spin structures in dimension 4; characteristic elements and Rokhlin's theorem, notes
Further reading
Joshua Evan Greene, Heegaard Floer homology (a treasure map to low-dimensional topology).