Department of Computer Science | Institute of Theoretical Computer Science | CADMO
Prof. Emo Welzl and Prof. Bernd Gärtner
Mittagsseminar Talk Information |
Date and Time: Tuesday, October 14, 2008, 12:15 pm
Duration: This information is not available in the database
Location: OAT S15/S16/S17
Speaker: Gabriel Katz
In tropical geometry, the focus of study is the tropical semiring (\mathbb{R}, \min, +) and its semimodule \mathbb{R}^d. Notions of convexity, hyperplanes and halfspaces exist for this semimodule, but these behave differently than their classical counterparts. For instance, a tropical hyperplane splits \mathbb{R}^d into d parts.
In this talk we will look at two classical theorems, the centerpoint Theorem and Tverberg's Theorem. For both of them, we will derive a tropical equivalent. Further, for n>d, we will present an O(n^4) algorithm for finding a point that is both a tropical centerpoint and a tropical Tverberg point. In higher dimensions, this is better than in the classical setting, where the best known exact algorithms are exponential in d.
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