| Les deux révisions précédentesRévision précédenteProchaine révision | Révision précédente |
| old_events [2015/01/15 11:12] – kalinin0 | old_events [2019/11/03 21:34] (Version actuelle) – weronika |
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| | Tropical Geometry Workshop, 2019, October 28 - November 1. |
| | **Real geometry in the footsteps of Gabriel Cramer** |
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| | Monday, October 28, 16:30, Battelle, Ilia Itenberg, "Planes in four-dimensional cubics". |
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| | Tuesday, October 29, 11:45, Battelle, Nikita Kalinin,“Symplectic packing problem”. |
| | Tuesday, October 29,14:45, Battelle, Kristin Shaw, “Poincaré duality for tropical manifolds”. |
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| | Wednesday, October 30, 10:30, Battelle, Kristin Shaw,“Poincaré duality for tropical manifolds”. |
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| | Thursday, October 21, 11:00,Battelle, Kristin Shaw,“Poincaré duality for tropical manifolds”. |
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| | Thursday, October 21,14:30, Battelle, Nikita Kalinin,“Symplectic packing problem and Nagata's Conjecture”. |
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| | Friday, November 1, 15:00, Battelle, Nikita Kalinin, “Symplectic packing problem and Nagata's Conjecture”. |
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| | [[raffinnee|Journée de géométrie énumérative raffinée]], 25.06.2016, villa Battelle, 9.30-15.00 |
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| | 2015,30-31 March, Berlin, Tropical Geometry in Europe, http://www.math.univ-toulouse.fr/~bbertrand/TGE/index.html |
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| 2014, Tuesday Nov 4, Villa Batelle, | 2014, Tuesday Nov 4, Villa Batelle, |
| 15.47, Nikita Kalinin | 15.47, Nikita Kalinin |
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| Auctioneers may wish to sell related but different indivisible goods in a single process. To develop such techniques, we study the geometry of how an agent's demanded bundle changes as prices change. This object is the convex-geometric object known as a `tropical hypersurface'. Moreover, simple geometric properties translate directly to economic properties, providing a new taxonomy for economic valuations. When considering multiple agents, we study the unions and intersections of the corresponding tropical hypersurfaces; in particular, properties of the intersection are deeply related to whether competitive equilibrium exists or fails. This leads us to new results and generalisations of existing results on equilibrium existence. The talk will provide an introductory tour to relevant economics to show the context of these applications of tropical geometry. This is joint work with Paul Klemperer, Oxford. | Auctioneers may wish to sell related but different indivisible goods in a single process. To develop such techniques, we study the geometry of how an agent's demanded bundle changes as prices change. This object is the convex-geometric object known as a `tropical hypersurface'. Moreover, simple geometric properties translate directly to economic properties, providing a new taxonomy for economic valuations. When considering multiple agents, we study the unions and intersections of the corresponding tropical hypersurfaces; in particular, properties of the intersection are deeply related to whether competitive equilibrium exists or fails. This leads us to new results and generalisations of existing results on equilibrium existence. The talk will provide an introductory tour to relevant economics to show the context of these applications of tropical geometry. This is joint work with Paul Klemperer, Oxford. |
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| | [[MS|Mirror symmetry for all and Mirror Symmetry Seminar]] |
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| | [[CFT|Conformal Field Theory Seminar]] |
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| May 26-31 Gökova http://gokovagt.org/2014/index.html | May 26-31 Gökova http://gokovagt.org/2014/index.html |
