Glances@Manifolds 2018

Jagiellonian University, July 2-6, 2018, Kraków, Poland

Short courses

During the conference, the following two short courses will be given.

Taras E. Panov (Moscow State University, Russia)
Cobordism and group actions on manifolds.

  1. Bordism and cobordism: basics.
  2. Formal group laws and Hirzebruch genera.
  3. Equivariant bordism: geometric and homotopical approach.
  4. Localisation techniques in cobordism.
  5. Rigidity and fibre multiplicativity of genera.

Overview of the course
Lecture 1
Lecture 2
Lecture 3
Lecture 4
Lecture 5

Andrei Rapinchuk (University of Virginia, USA)
Arithmetic and Zariski-dense subgroups: weak commensurability, eigenvalue rigidity and applications to locally symmetric spaces.

  1. Eigenvalue rigidity and isospectral and length-commensurable locally symmetric spaces.
  2. Arithmetic and Zariski-dense subgroups and their weak commensurability.
  3. Some techniques: generic elements.
  4. Arbitrary Zariski-dense subgroups.

Overview of the course
Lecture 1
Lecture 2 & 3
Lecture 3 & 4
Lecture 4


Organizers: Adam Mickiewicz University | Jagiellonian University | University of Warmia and Mazury | Lodz University of Technology