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Literature Suggestions

- On Amenability and Growth: "An introduction to amenable groups" by Alejandra Garrido, available here
- On Shaloms theorem and Property T: Chapter 3 of "Kazhdan's property (T)" by Becca, de la Harpe, Valette, available here
- Ozawa's theorem: "A functional analysis proof of Gromov's polynomial growth theorem", available here
- Using Ozawas theorem to get a finite dimensional representation: proof of Theorem 6.7.2 in "Harmonic analysis, cohomology and the large-scale geometry of amenable groups" by Y. Shalom
- Showing that the kernel of the map to the integers is finitely generated: "Growth of finitely generated solvable groups" by J. Milnor
- Using polynomial growth and unipotence to finish the induction: the last section of Terry Tao's blog entry here
- On Grigorchuk's group of intermediate growth: "Groups of intermediate growth, an introduction", available here

- October 17: Talk 1 (Latifi)
- October 24: Talk 2 (Baker)
- October 31: No Talk
- November 7: Talk 3 (Caceres)
- November 14: Talk 4, part 1 (Ardryansyah)
- November 21: Talk 4, part 2 (Kabashaj)
- November 28: Talk 5 (Selimi)
- December 5: Talk 6 (Amontova)
- December 12: Talk 7 (Flamm)
- December 19: Talk 8 (Gajda)
- January 9: Talk 9 (Rumi)
- January 16: Talk 10 (Azemar)

During the first half, we were (roughly) following the book "Trees" by Serre. In the second half, one useful source are the notes by Brian Bowditch on geometric group theory.

There are no problem sessions, but there will be (irregular) problem sets here. Please try to solve them -- they are excellent preparation for the exam!

- Problem set 3. Hyperbolic spaces and groups. PDF

- Problem set 2. Translation length, axes of hyperbolic elements. PDF

- Problem set 1. Trees, Amalgams, early Bass-Serre theory. PDF

**Warning:**The original version had a mistake, which made 1.2 and 1.3 unsolvable as stated (May 16). There also was a typo in 1.4 (May 29).

- October 26: Talk 1 (Lay)
- November 2: Talk 2 (Foniqi)
- November 9: Talk 3 (Quintanilha)
- November 16: Talk 4 (Rehn)
- November 23: Talk 5 (Atza)
- November 30: Talk 6 (Shi)
- December 7: No Talk.
- December 14: No Talk.
- December 21: Talk 7 (Bertozzi)
- January 11: Talk 8 (Wang)
- January 18: Talk 9 (Ho)
- January 25: No Talk.
- February 1: No Talk.
- February 8: Talk 10 (Zhicheng)

- October 30 (te Winkel)
- November 6 (Cabezuelo)
- November 13 (Bellumat and Han)
- November 20 (Karlhofer)
- November 27 (Pedrotti)
- December 4: NO TALK
- December 11 (Spirano)
- December 18 (Fluhr)
- January 8 (Lenzen)
- January 15: NO TALK
- January 22 (Koch)