Beijing Institute of Mathematical Sciences and Applications Beijing Institute of Mathematical Sciences and Applications

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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Administration
Academic Support
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Topics in Representation Theory On Quadratic Poisson Structures
On Quadratic Poisson Structures
Organizers
Semen Artamonov , Yevgen Makedonskyi , Pavel Nikitin , Shamil Shakirov
Speaker
Anton Khoroshkin
Time
Friday, September 26, 2025 1:00 PM - 2:30 PM
Venue
A3-4-301
Online
Zoom 242 742 6089 (BIMSA)
Abstract
A quadratic Poisson structure is given by a bivector $\pi = \sum \pi_{ij}^{pq} x_p x_q \partial_i \wedge \partial_j$ which satisfies certain compatibility conditions. Forgetting the underlying space with coordinates $x_i$ leads to an algebraic structure known as a (wheeled) properad.

In this talk I will describe several interesting properties of this properad, explain why its deformation theory is as intricate as that of an arbitrary Poisson structure or a Lie bialgebra, and show how the famous Kontsevich graph complex acts on these deformations. I will also emphasize some Gröbner basis techniques to illustrate current methods for algebraic computations with structures such as (pr)operads.
Beijing Institute of Mathematical Sciences and Applications
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