\documentclass[oneside,final,12pt]{book}

\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{xunicode}

\usepackage{hyperref}
\usepackage{xstring}
\def\rooturl{https://www.math.bgu.ac.il/}
\hyperbaseurl{\rooturl}
\let\hhref\href
\providecommand{\extrahref}[2][]{\LTRfootnote{\LR{\IfBeginWith*{#2}{http}{\nolinkurl{#2}}{\nolinkurl{\rooturl#2}}}}}
\renewcommand{\href}[2]{\IfBeginWith*{#1}{http}{\hhref{#1}{#2}}{\hhref{\rooturl#1}{#2}}\extrahref{#1}}

\usepackage{polyglossia}
\usepackage{longtable}
%% even in English, we sometimes have Hebrew (as in course hours), and we
%% can't add it in :preamble, since it comes after hyperref
%%\usepackage{bidi}
\setdefaultlanguage{english}
\setotherlanguage{hebrew}
%%\setmainfont[Ligatures=TeX]{Libertinus Serif}
\setmainfont[Script=Hebrew,Ligatures=TeX]{LibertinusSerif}[
  UprightFont = *-Regular,
  BoldFont = *-Bold,
  ItalicFont = *-Italic,
  BoldItalicFont = *-BoldItalic,
  Extension = .otf]

\SepMark{‭.}
\robustify\hebrewnumeral
\robustify\Hebrewnumeral
\robustify\Hebrewnumeralfinal

% vim: ft=eruby.tex:



\begin{document}
\pagestyle{empty}
\pagenumbering{gobble}

\begin{center}
\vspace*{\baselineskip}

{\Large Department of Mathematics, BGU}

\vspace*{\baselineskip}

\rule{\textwidth}{1.6pt}\vspace*{-\baselineskip}\vspace*{2pt}
\rule{\textwidth}{0.4pt}\\[\baselineskip]

{\Huge AGNT}\\[0.2\baselineskip]

\rule{\textwidth}{0.4pt}\vspace*{-\baselineskip}\vspace{3.2pt}
\rule{\textwidth}{1.6pt}\\[\baselineskip]

\textbf{On} \emph{Wednesday, March 13, 2024}
\bigskip

\textbf{At} \emph{14:10 -- 15:00}
\bigskip

\textbf{In} \emph{-101}

\vspace*{2\baselineskip}

{\large\scshape Grigory Papayanov 
  %
  (Northwestern, visiting Weizmann)
}
\bigskip

will talk about
\bigskip

{\Large\bfseries Holomorphic Fedosov quantizations and the period map\par}
\bigskip

\end{center}
\vfill

\textsc{Abstract:}
The Gelfand-Kazhdan formal geometry is a way of describing geometric structures on a smooth manifold M
in terms of the jet bundle. The works of Fedosov, Nest-Tsygan and Bezrukavnikov-Kaledin
put the problem of classifying deformation quantizations of, respectively, smooth, holomorphic and algebraic
symplectic manifolds into the context of formal geometry. They showed that, if the Hodge filtration
on the cohomology of the symplectic manifold splits, the set of deformation quantizations of M could be identified with a certain
subset of \$H\^{}2(M){[}{[}h{]}{]}\$ via the so-called period map. In the talk I want to describe an upgrade of the period map from
a map between sets to a morphism between suitably defined deformation functors. This upgrade could be used to
reprove the Fedosov-Nest-Tsygan-Bezrukavnikov-Kaledin theorems, to help classify quantizations
without the Hodge filtration splitting condition, and to connect the period map with the so-called Rozansky-Witten invariants.








% vim: ft=eruby.tex:


\end{document}

% vim: ft=eruby.tex:
