Seminar on foundations in 3-manifold topology IV
We study foundational topics in 3-manifold topology. This term we will focus on virtual 1-domination, analytical torsion, Perelman's work and the geometrization conjecture, and Giroux's correspondence.
The seminar will be held as ``Blockseminar'' March 15 - 19 online on Zoom. Talks will be 9:30-10:30, 11:00-12:00 and 15:00-16:00. If you are interested in participating you should email me.
We will mainly use the following literature- [LS] Y. Liu, H. Sun: Virtual 1-domination of 3-manifolds, Compositio Math. 154 (2018), no.3, 621--639]
- [P] J. Porti: Geometrization of three manifolds and Perelman’s proof, Rev. R. Acad. Cien. Serie A. Mat.VOL.102(1), 2008, pp. 101--125, available online here
- [BG] S. Baader, C. Graf: Fibred links in S^3, Expo. Math. 34 (2016), no. 4, 423--435.
- [G] D. Gabai: The Murasugi sum is a natural geometric operation. Low-dimensional topology (San Francisco, Calif., 1981), 131--143, Contemp. Math., 20, Amer. Math. Soc., Providence, RI, 1983.
- [E] J. Etnyre: Lectures on open books and contact structures, arXiv:math/0409402
Date | Topic | Speaker | Literature |
---|---|---|---|
15.3. | Virtual 1-domination | Lars Munser | [LS] |
15.3. | Virtual 1-domination | Marco Moraschini | [LS] |
15.3. | Analytic torsion | Julian Seipel | |
17.3. | Hamilton's Ricci flow and pre-Perelman results | Raphael Zentner | [P] |
17.3. | Perelman's work and singularities | Jonathan Glöckle | [P] |
17.3. | Elliptization and hyperbolization | José-Pedro Quintanilha | [P] |
19.3. | Murasugi sum and fibrations | Lukas Lewark/Filip Misev | [E, Gabai, Baader-Graf] |
19.3. | Contact structures and open books | Jonathan Bowden | [E] |
19.3. | Giroux's correspondence | Jonathan Bowden | [E] |