Replace Abstract

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
+The proposed workshop will present recent advances in the analytic and algebraic
-many other fields. The proposed workshop presents recent results in complex
+study of Kähler spaces. Key topics to be covered include:
-analysis and especially the analytic and algebraic study of Kähler spaces, and
+\begin{itemize}
-surveys progress in topics that link the field to other branches of mathematics.  
+\item Canonical metrics and their limits,
-This application highlights canonical metrics and their limits, hyperbolicity
-properties of complex algebraic varieties and the topology and Hodge theory of
-Kähler spaces. 
 
-An important aspect of our workshop are its close ties to other branches of
+\item Hyperbolicity properties of complex algebraic varieties,
-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 The topology and Hodge theory of Kähler spaces.
-%This application highlights differential-geometric methods in the study of
+\end{itemize} 
-%singular spaces, the interplay between analytic and algebraic methods, and the
+While the topics are classical, various breakthroughs were achieved only
-%relation between complex analysis and Scholze-Clausen's condensed mathematics.
+recently.  Moreover, the chosen topics are closely linked to various other
-
+branches of mathematics.  For example, geometric group theorists have recently
-%The meeting has always been a venue where confirmed researchers from different
+applied methods from complex geometry and Hodge theory to address long-standing
-%backgrounds meet and where young mathematicians are giving their first talks at
+open problems in geometric group theory.  Similarly, concepts used in the
-%an international conference.  While we are happy to see a growing number of
+framework of hyperbolicity questions, such as entire curves, jet differentials
-%talented, young researchers, we feel that this age group suffers the most from
+and Nevanlinna theory have recently seen important applications in the study of
-%the ongoing COVID crisis and the resulting lack of exchange and interaction.
+rational and integral points in number theory. To foster further
-%We would therefore like to emphasize the contributions of younger researchers
+interdisciplinary collaboration, we will invite several experts from related
-%and invite a relatively higher number of them.  We are looking forward to
+fields to participate in the workshop.
-%welcoming them to Oberwolfach, rediscover the pleasure of meeting in person,
-%and exchange points of view!
 
 
 \section{Mathematics Subject Classification}