Abstract

.vscode/ltex.dictionary.en-US.txt

@@ -85,3 +85,4 @@ Daskalopoulos
 Mese
 Nevanlinna
 arithmetics
+Grauert

.vscode/ltex.hiddenFalsePositives.en-US.txt

@@ -1,3 +1,4 @@
 {"rule":"PREPOSITION_VERB","sentence":"^\\QProbably the most complete result in this field is due to A. Bloch (more than 100 years ago), who -in modern language- showed that the Zariski closure of a map \\E(?:Dummy|Ina|Jimmy-)[0-9]+\\Q to a complex torus \\E(?:Dummy|Ina|Jimmy-)[0-9]+\\Q is the translate of a sub-tori.\\E$"}
 {"rule":"PREPOSITION_VERB","sentence":"^\\QIts beginnings date back to 1926, when André Bloch showed that the Zariski closure of entire holomorphic curve \\E(?:Dummy|Ina|Jimmy-)[0-9]+\\Q to a complex torus \\E(?:Dummy|Ina|Jimmy-)[0-9]+\\Q is the translate of a sub-torus.\\E$"}
 {"rule":"MISSING_GENITIVE","sentence":"^\\QHodge modules are used to define generalizations of well-known ideals of singularities, such as multiplier ideals from analysis and algebraic geometry.\\E$"}
+{"rule":"MORFOLOGIK_RULE_EN_US","sentence":"^\\QThe workshop has a distinguished history, originating with Grauert and Remmert.\\E$"}

MFO26.tex

@@ -55,9 +55,11 @@
 
 
 \section{Workshop Title}
-Komplexe Analysis --- Differential and Algebraic Methods in the Theory of Kähler Spaces
 
-\section{Proposed Organisers}
+Komplexe Analysis --- Analytic and Algebraic Methods in the Theory of Kähler Spaces
+
+
+\section{Proposed Organizers}
 
 \begin{tabular}{ll}
   \parbox[t]{7cm}{
@@ -93,39 +95,33 @@ 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.
+\end{itemize} 
+While these topics are classical, various breakthroughs were achieved only
+recently.  Moreover, each is 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.
 
-%This application highlights differential-geometric methods in the study of
+The workshop has a distinguished history, originating with Grauert and Remmert.
-%singular spaces, the interplay between analytic and algebraic methods, and the
+For the 2026 edition, it will feature 50\% new organizers and participants,
-%relation between complex analysis and Scholze-Clausen's condensed mathematics.
+ensuring fresh perspectives and innovative contributions.
-
-%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!
 
 
 \section{Mathematics Subject Classification}