Geometry of amoebas
Emplacements et horaires
Il a eu lieu à l'Institut Henri Poincaré (11 rue Pierre et Marie Curie, 75005 Paris) de 11h à 12h30 les jours et dans les amphithéâtres suivants :
- Jeudi 10 octobre : amphithéâtre Hermite
- Jeudi 17 octobre : amphithéâtrei Darboux
- Jeudi 31 octobre : amphithéâtre Hermite
- Jeudi 14 novembre : amphithéâtre Hermite
- Jeudi 21 novembre : amphithéâtre Hermite
- Jeudi 28 novembre : amphithéâtre Darboux
- Jeudi 12 décembre : amphithéâtre Hermite
Description
In this lecture series we give an introduction to amoebas and the role they play in complex and real geometry.
In the first two or three lectures we treat the following subjects.
Introduction: use of polar coordinates in complex geomrtry; definitions of amoebae and algae (coamoebas); first examples: lines, planes, hyperplanes.
Area and volume of amoebas and coamoebas; computation of zeta(2) due to Passare; degrees and bounds for amoeba volumes.
More examples: amoebas of planar curves and their tropical limit; Ronkin's function and its thermodynamical interpretation.
Further topics are to include Monge‑Ampère measure; holes (vacuoles); amoeba's contours; connections to real geometry; simple Harnack curves; generalized amoebas and amoeba‑like objects.
A more detailed further plan is to be announced after the beginning of the first couple of lectures.
Notes de cours
Cliquez ici pour télécharger les notes de cours.
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