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Mese Mese
Nevanlinna Nevanlinna
arithmetics arithmetics
Grauert

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

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\section{Workshop Title} \section{Workshop Title}
Komplexe Analysis --- Differential and Algebraic Methods in the Theory of Kähler Spaces
Komplexe Analysis --- Analytic and Algebraic Methods in the Theory of Kähler Spaces \section{Proposed Organisers}
\section{Proposed Organizers}
\begin{tabular}{ll} \begin{tabular}{ll}
\parbox[t]{7cm}{ \parbox[t]{7cm}{
@ -95,33 +93,39 @@ Komplexe Analysis --- Analytic and Algebraic Methods in the Theory of Kähler Sp
Germany\\[2mm] Germany\\[2mm]
\href{mailto:schreieder@math.uni-hannover.de}{schreieder@math.uni-hannover.de}} \href{mailto:schreieder@math.uni-hannover.de}{schreieder@math.uni-hannover.de}}
\end{tabular} \end{tabular}
\clearpage
\section{Abstract} \section{Abstract}
The proposed workshop will present recent advances in the analytic and algebraic Complex Analysis is a very active branch of mathematics with applications in
study of Kähler spaces. Key topics to be covered include: many other fields. The proposed workshop presents recent results in complex
\begin{itemize} analysis and especially the analytic and algebraic study of Kähler spaces, and
\item Canonical metrics and their limits, 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.
\item Hyperbolicity properties of complex algebraic varieties, 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 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.
The workshop has a distinguished history, originating with Grauert and Remmert. %This application highlights differential-geometric methods in the study of
For the 2026 edition, it will feature 50\% new organizers and participants, %singular spaces, the interplay between analytic and algebraic methods, and the
ensuring fresh perspectives and innovative contributions. %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!
\section{Mathematics Subject Classification} \section{Mathematics Subject Classification}