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Description: |
Tropical geometry has been around for some time, with different names and in
different contexts. In the last few years, a growing interest appeared on this
subject, motivated by important applications of this theory to Algebraic
Geometry: Tropical Geometry seems to be a strong tool on translating from the
algebraic context to a more combinatorial one. The area is, however, still in
its beginnings, and some basic results and definitions still lack consensus.
We will first present a definition of tropical hyper-surface and its main
properties; proceed to show two completely different characterizations of the
same object; and finish by presenting a tentative basic theory of tropical
algebraic varieties, as well as some results that support this choice. In the
process, strong (and hopefully interesting) links with well known areas of
algebra and geometry will be revealed.
Area(s):
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Date: |
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| Start Time: |
14:45 |
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Speaker: |
João Gouveia (CMUC, U. Coimbra)
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Place: |
5.5
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| Research Groups: |
-Algebra and Combinatorics
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See more:
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<Main>
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