TES Block Course

Stochastic Topology

March 16-20, 2020

Block Course Lecturers

• Omer Bobrowski (Technion)
  
• Matthew Kahle (Ohio State, TU Berlin)
  
• J. Andrew Newman (TU Berlin)
  
• Yuval Peled (NYU Courant Institute)
  
• Érika Roldán (Ohio State)
  

Parent Program

Thematic Einstein Semester Summer 2020   Geometric and Topological Structure of Materials.

Coronovirus Update

[March 9, 2020] TU Berlin is closely monitoring the developments related to the outbreak of the coronavirus disease (COVID-19).
For now, the university is not impacted by the outbreak and remains open.

[March 11, 2020] !!! TU Berlin ordered all events to be cancelled !!!

Topics

• Probabilistic and topological preliminaries
  
• Random geometric complexes and percolation theory
  
• Phase transitions for homology and cohomology
  
• Random fundamental groups and geometric group theory
  
• Laplacians of graphs and simplicial complexes and applications to topology
  
• Morse theory, especially in random settings
  

Suggested prerequisites

• Chapters 1–4 of N. Alon & J. Spencer. The Probabilistic Method. Fourth Edition. Wiley Series in Discrete Mathematics and Optimization. John Wiley & Sons, Inc., Hoboken, NJ, 2016. xiv+375 pp. ISBN: 978-1-119-06195-3 .
  
• Sections 9 & 10 of A. Björner. Topological methods. Handbook of combinatorics, Vol. 1, 2, 1819–1872, Elsevier Sci. B. V., Amsterdam, 1995.
  
• R. Forman. A user's guide to discrete Morse theory. Sém. Lothar. Combin. 48 (2002).
  

Venue

The block course will be held in the lecture hall MA 005 of the Mathematics Building of TU Berlin, Straße des 17. Juni, 10623 Berlin.

Participation

free

Registration

Deadline for   registration:   at earliest convenience.

Collegiality

Schedule

Contact