From c9fe4df649c818c8d08ece8d948fd794d2fea065 Mon Sep 17 00:00:00 2001 From: Stefan Kebekus Date: Thu, 25 Jul 2024 09:17:14 +0200 Subject: [PATCH] Replace Abstract --- MFO26.tex | 46 ++++++++++++++++++---------------------------- 1 file changed, 18 insertions(+), 28 deletions(-) diff --git a/MFO26.tex b/MFO26.tex index 2edc70b..2ce5847 100644 --- a/MFO26.tex +++ b/MFO26.tex @@ -93,39 +93,29 @@ Komplexe Analysis --- Differential and Algebraic Methods in the Theory of Kähle Germany\\[2mm] \href{mailto:schreieder@math.uni-hannover.de}{schreieder@math.uni-hannover.de}} \end{tabular} - +\clearpage \section{Abstract} -Complex Analysis is a very active branch of mathematics with applications in -many other fields. The proposed workshop presents recent results in complex -analysis and especially the analytic and algebraic study of Kähler spaces, and -surveys progress in topics that link the field to other branches of mathematics. -This application highlights canonical metrics and their limits, hyperbolicity -properties of complex algebraic varieties and the topology and Hodge theory of -Kähler spaces. +The proposed workshop will present recent advances in the analytic and algebraic +study of Kähler spaces. Key topics to be covered include: +\begin{itemize} +\item Canonical metrics and their limits, -An important aspect of our workshop are its close ties to other branches of -mathematics. Our aim is to invite a few experts from neighboring fields where we -expect fruitful interactions in the future. For instance, we will include a -small number of geometric group theorists, including Py and Llosa-Isenrich, -that have recently applied methods from complex geometry and Hodge theory to -solve longstanding open problems in geometric group theory. +\item Hyperbolicity properties of complex algebraic varieties, - -%This application highlights differential-geometric methods in the study of -%singular spaces, the interplay between analytic and algebraic methods, and the -%relation between complex analysis and Scholze-Clausen's condensed mathematics. - -%The meeting has always been a venue where confirmed researchers from different -%backgrounds meet and where young mathematicians are giving their first talks at -%an international conference. While we are happy to see a growing number of -%talented, young researchers, we feel that this age group suffers the most from -%the ongoing COVID crisis and the resulting lack of exchange and interaction. -%We would therefore like to emphasize the contributions of younger researchers -%and invite a relatively higher number of them. We are looking forward to -%welcoming them to Oberwolfach, rediscover the pleasure of meeting in person, -%and exchange points of view! +\item The topology and Hodge theory of Kähler spaces. +\end{itemize} +While the topics are classical, various breakthroughs were achieved only +recently. Moreover, the chosen topics are closely linked to various other +branches of mathematics. For example, geometric group theorists have recently +applied methods from complex geometry and Hodge theory to address long-standing +open problems in geometric group theory. Similarly, concepts used in the +framework of hyperbolicity questions, such as entire curves, jet differentials +and Nevanlinna theory have recently seen important applications in the study of +rational and integral points in number theory. To foster further +interdisciplinary collaboration, we will invite several experts from related +fields to participate in the workshop. \section{Mathematics Subject Classification}