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Postgraduate research
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- Information about research theses
- Past research students
- Resources
- Entry requirements
- PhD projects
- Obtaining funding
- Application & fee information
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- Help for postgraduate students
- Thesis guidelines
- School assessment policies
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- Mathematics Drop-in Centre
- Consultation
- Statistics Consultation Service
- Academic advice
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- Illness or misadventure
- Application form for existing casual tutors
- ARC grants Head of School sign off
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Abstract:
It is a key observation, made by Kapranov, Mikhalkin, Sturmfels, and others, that relevant geometric problems have a combinatorial core. This lead to the invention of tropical geometry as something like a "piece-wise linear shadow of algebraic geometry". Specializing tropical algebraic geometry to the linear case leads to the subject of max-plus linear algebra. This field, rooted in optimization, is much older than tropical geometry. It is linked with signal processing, functional analysis and other areas. The goal of this talk is to give examples of simple combinatorial concepts which evolve into theorems which are interesting for pure as well as applied mathematics.
Speaker
Michael Joswig
Research Area
Joint Colloquium
Affiliation
Technische Universität Darmstadt
Date
Fri, 30/11/2012 - 3:00pm
Venue
Chemistry Lecture Theatre 2, Sydney University