На 12 март 2021 г. (петък) от 16:30 часа ще се проведе съвместно дистанционно заседание на семинара по „Алгебра и логика” и на общия семинар на секция „Анализ, геометрия и топология”.

Доклад на тема

Algebraic Non-hyperbolicity of Hyperkähler Manifolds

ще изнесе Людмила Каменова (Stony Brook University, USA).

Резюме. A projective manifold is algebraically hyperbolic if the degree of any curve is bounded from above by its genus times a constant, which is independent from the curve. This is a property which follows from Kobayashi hyperbolicity. We prove that hyperkahler manifolds are not algebraically hyperbolic when the Picard rank is at least 3, or if the Picard rank is 2 and the SYZ conjecture on existence of Lagrangian fibrations is true. We also prove that if the automorphism group of a hyperkahler manifold is infinite, then it is algebraically non-hyperbolic. These results are joint with Misha Verbitsky.

Семинарът ще се проведе посредством платформата Zoom и всеки желаещ може да се присъедини като последва линка:

https://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09

Time: Mar 12, 2021 04:30 PM Sofia
Meeting ID: 851 3737 5021
Passcode: 035647

От секция „Алгебра и логика” на ИМИ – БАН
http://www.math.bas.bg/algebra/seminarAiL/