Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Mittagsseminar Talk Information

Date and Time: Thursday, March 21, 2019, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Mihyun Kang (TU Graz)

Vanishing of cohomology groups of random simplicial complexes

We consider d-dimensional random simplicial complexes that are generated from the binomial random (d+1)-uniform hypergraph by taking the downward-closure. For each integer j between one and (d-1), we determine when all cohomology groups with coefficients in the two-element field F from dimension one up to j vanish and the zero-th cohomology group is isomorphic to F. This property is not deterministically monotone, but we show that it has a single sharp threshold. This is joint work with Oliver Cooley, Nicola Del Giudice, and Philipp Spruessel.


Upcoming talks     |     All previous talks     |     Talks by speaker     |     Upcoming talks in iCal format (beta version!)

Previous talks by year:   2024  2023  2022  2021  2020  2019  2018  2017  2016  2015  2014  2013  2012  2011  2010  2009  2008  2007  2006  2005  2004  2003  2002  2001  2000  1999  1998  1997  1996  

Information for students and suggested topics for student talks


Automatic MiSe System Software Version 1.4803M   |   admin login