Поредната сбирка на Националния семинар по стохастика ще се проведе на 14 февруари 2024 г. (сряда) от 14:00 часа в зала 503 на ИМИ - БАН. Доклад на тема Computable inference for generalised Wright-Fisher processes ще изнесе Nathan Judd (University of Warwick, UK). Абстракт.In this talk, we will introduce a class of [0,1]-valued Markov processes with jumps that, as signals in hidden Markov models, admits a computable (exact) filter. By computable filter we mean that each filtering distribution, i.e., the law of the signal at a time t given the data up to time t, is explicitly and exactly available as a finite mixture of Dirichlet distributions. We exploit the tractability of the Wright-Fisher diffusion, in particular, its infinite-sum transition function and its dual process, [...]

Следващата сбирка на Семинара по геометрия на МЦМН ще се проведе в сряда, 14 февруари 2024 г. от 16:00 ч. в зала 403 и онлайн в Zoom: Доклад на тема Refined curve counting ще изнесе Михаил Школников, ИМИ - БАН. Zoom link: https://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09 Abstract: Refining an enumerative problem upgrades the numerical solution to a polynomial so that its specialization gives the original number. A prototypical example of such refinement arises in the tropical curve counting from replacing Mikhalkin multiplicities, corresponding to counting complex curves, with Block-Goettsche multiplicities. I will speak about the invariance of this count and its various interpretations.