### Epsilon systems of geometric crystals

**Nakashima, T ***(Sophia)*

Tuesday 31 March 2009, 10:15-11:00

Satellite

#### Abstract

An epsilon system is a set of rational functions on a geometric crystal, by definition, which satises certain relations and conditions for the actions of the geometric crystal operators. We shall introduce their basic properties, e.g., product structures and invariance for tropical R-maps, and see some application and observation.

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