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 M. Ghaffari, A. Steger and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Tuesday, July 03, 2012, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: József Solymosi (University of British Columbia)

On the Sum-Product Problem

Let A be a finite subset of integers. Erdos and Szemeredi conjectured that either the sum set, A+A, or the product set, A*A should be large for any choice of A. More precisely if A+A={a+b| a,b in A} and A*A={ab| a,b in A} then |A+A|+|A*A|>|A|^{2-c} for any c>0 and large enough A. Variants of this problem have important applications to expander graphs, randomness extractors, and detecting almost primes (among other applications) I will talk about the history of this problem and about some recent developments.

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

Previous talks by year:   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