PD Dr. Raphael Zentner

funded by the Heisenberg program of the DFG

Fakultät für Mathematik
Universität Regensburg

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]