Roubtsov V. Classical and quantum algebraic structures within Painlevé transcendents, talk at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic (abstract): Difference between revisions
Jump to navigation
Jump to search
Created page with "{{MeetingTalk | speaker = Vladimir Roubtsov | title = Classical and quantum algebraic structures within Painlevé transcendents | abstract = There surprisingly many interestin..." |
No edit summary |
||
| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
{{MeetingTalk | {{MeetingTalk | ||
| speaker = Vladimir | | speaker = Vladimir Rubtsov | ||
| title = Classical and quantum algebraic structures within Painlevé transcendents | | title = Classical and quantum algebraic structures within Painlevé transcendents | ||
| abstract = There surprisingly many interesting algebraic structures related to all six Painlevé equations. The origin of it encodes in rich algebraic and Poisson geometry of affine cubics describing the monodromy data of these equations. | | abstract = There surprisingly many interesting algebraic structures related to all six Painlevé equations. The origin of it encodes in rich algebraic and Poisson geometry of affine cubics describing the monodromy data of these equations. | ||
We shall review some of this structures, including elliptic Sklyanin algebras, non-commutative deformationss of quiver's potentials, related Calabi-Yau algebras and toric structures associated to character varieties together with their mutations. My talk is based on a joint paper with M. Mazzocco and a work in progress. | We shall review some of this structures, including elliptic Sklyanin algebras, non-commutative deformationss of quiver's potentials, related Calabi-Yau algebras and toric structures associated to character varieties together with their mutations. My talk is based on a joint paper with M. Mazzocco and a work in progress. | ||
| slides = | | slides = [[Media:Roubtsov V. Algebraic and Geometric Structures of Painlevé monodromy varietes (presentation at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic).pdf|Roubtsov V. Algebraic and Geometric Structures of Painlevé monodromy varietes (presentation at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic).pdf]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7986-89-85 | | 79YY-MM-DD = 7986-89-85 | ||
}} | }} | ||
Latest revision as of 13:21, 13 November 2013
Speaker: Vladimir Rubtsov
Title: Classical and quantum algebraic structures within Painlevé transcendents
Abstract:
There surprisingly many interesting algebraic structures related to all six Painlevé equations. The origin of it encodes in rich algebraic and Poisson geometry of affine cubics describing the monodromy data of these equations.
We shall review some of this structures, including elliptic Sklyanin algebras, non-commutative deformationss of quiver's potentials, related Calabi-Yau algebras and toric structures associated to character varieties together with their mutations. My talk is based on a joint paper with M. Mazzocco and a work in progress.