Very last changes

.gitignore

@@ -16,3 +16,4 @@
 *.synctex(busy)
 *.synctex.gz
 *.toc
+*.xlsx

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

@@ -85,3 +85,6 @@ Daskalopoulos
 Mese
 Nevanlinna
 arithmetics
+Grauert
+Mok
+regionality

.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

@@ -54,10 +54,14 @@
 \maketitle
 
 
-\section{Workshop Title}
-Komplexe Analysis --- Differential and Metric Methods in the Theory of Kähler Spaces
+\section{Title and proposed organizers}
 
-\section{Proposed Organisers}
+\subsection{Workshop Title}
+
+Komplexe Analysis --- Analytic and Algebraic Methods in the Theory of Kähler Spaces
+
+
+\subsection{Proposed Organizers}
 
 \begin{tabular}{ll}
   \parbox[t]{7cm}{
@@ -93,16 +97,36 @@ Komplexe Analysis --- Differential and Metric Methods in the Theory of Kähler S
     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 surveys progress in topics that link the field to other branches of mathematics.  
-%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 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,
 
-%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 Hyperbolicity properties of complex algebraic varieties,
+
+\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.
+The 2026 edition brings in new organizers with fresh perspectives.  About half
+of the proposed participants have not attended this workshop before. To ensure a
+smooth transition, we decided to retain two of the established organizers for
+this application; we plan to replace both of them in the next application for
+2029.
 
 
 \section{Mathematics Subject Classification}
@@ -119,19 +143,25 @@ Secondary & 14 &--& Algebraic geometry \\
 
 \section{Description of the Workshop}
 
-The proposed workshop presents recent results in Complex Geometry and surveys
-relations to other fields. For 2026, we would like to emphasize the fields
-described below.  
-Each relates to complex analysis differently.  
-Each has seen substantial progress recently, producing results that will be of importance for years to come.  
-%The bullet items list some of the latest developments that have attracted our attention.
 
-%We plan to include at least one broader overview talk for each of the three subjects, as well as more specialized presentations by senior experts and junior researchers.  
-We will account for new developments that arise between the time of submission
-of this proposal and the time of the workshop.  Following good Oberwolfach
-tradition, we will keep the number of talks small to provide ample opportunity
-for informal discussions. 
-%After so many months of the pandemic, this will be more than welcome!
+The proposed workshop presents recent results in Complex Geometry and Kähler
+spaces, focusing on a combination of analytic and algebraic methods. We aim to
+emphasize the fields described below, each rooted in complex analysis and
+interconnected with various other branches of mathematics.
+
+An important goal of our workshop is to foster collaborations between
+mathematicians from different communities, with diverse backgrounds and
+perspectives. We have invited experts from related fields, and we will ask them
+to give survey talks on their work early in the week. This will allow them to
+introduce themselves to the complex geometers attending the workshop and provide
+ample opportunities for discussions throughout the rest of the week. Following
+the Oberwolfach guidelines, we will keep the number of talks comparatively small
+(no more than 25) to allow for plenty of informal discussions.
+
+One evening during the workshop, we will hold a special session where junior
+participants who are not selected to give a 60-minute talk can give a 5-10
+minute pitch on their work to introduce themselves to the community.
+
 
 
 \subsection{Canonical Metrics and Hyperbolicity}
@@ -247,9 +277,8 @@ curves.
 
 Ever since its invention, Hodge theory has been one of the most powerful tools
 in studying the geometry and topology of Kähler spaces.  More recent
-developments connect the theory to singularity theory, commutative algebra, and
-the topology of algebraic varieties.  The following topics in this area will
-particularly interest our workshop. 
+developments connect the theory to singularity theory and commutative algebra.
+The following topics in this area will particularly interest our workshop. 
 
 
 \subsubsection{Singularities and Hodge Ideals}
@@ -284,8 +313,12 @@ If $M$ is compact, a well-known conjecture in the field predicts that $B$ is
 projective space.  In the case where $B$ is smooth, Hwang established the
 conjecture more than 16 years ago in a celebrated paper.  There is new insight
 today, as Bakker--Schnell recently found a purely Hodge theoretic proof of
-Hwang's result in \cite{arXiv:2311.08977}.  Hopefully, these methods will give
-insight into the singular setting, which remains open to date.
+Hwang's result in \cite{arXiv:2311.08977}.  On the other hand Li--Tosatti found
+a more differential-geometric argument \cite{zbMATH07863260}, which relied
+heavily on a singular version of Mok's uniformization theorem. Even if both
+methods use results about rational curves, which confines them from the start to
+the smooth case, there is hope that they will give insight into the singular
+setting, which remains open to date.
 
 
 \paragraph{Non-compact Setting}
@@ -327,6 +360,79 @@ We would prefer if our workshop took place in mid of September or early to mid
 of April.
 
 
+\section{Preliminary list of proposed participants}
+
+Below is a preliminary list of 55 people (including organizers) we would like to
+invite\footnote{We list colleagues as ``young'' if they have no tenured job, or
+if their tenure is less than about three years old.}.  About half of them have
+not attended this workshop before.  The list meets or exceeds the quota on
+diversity and regionality laid out in the ``Proposal Guidelines for Workshops''.
+
+{\small
+\begin{longtable}[c]{lccccccc}
+
+\rowcolor{lightgray} \textbf{Name} & \textbf{Location} & \textbf{German} & \textbf{Young} & \textbf{Woman} & \textbf{New to workshop} \\\hline \endhead
+
+di Nezza, Eleonora&Sorbonne&&&1 \\
+Paun, Mihai&Bayreuth&1&& \\
+Kebekus, Stefan&Freiburg&1&& \\
+Schreieder, Stefan&Hannover&1&& \\
+&&&& \\
+Arapura, Donu&Purdue&&&&1 \\
+Bakker, Ben&Chicago&&&& \\
+Bérczi, Gergely&Aarhus&&&&1 \\
+Biquard, Olivier&Sorbonne&&&&1 \\
+Boucksom, Sébastien&Paris&&&& \\
+Braun, Lukas&Innsbruck&1&1&& \\
+Brotbek, Damian&Nancy&&&&1 \\
+Brunebarbe, Yohan&Bordeaux&&&& \\
+Cadorel, Benoît&Nancy&&&& \\
+Chiu, Shih-Kai&Vanderbilt&&1&&1 \\
+Conlon, Ronan&Dallas&&&&1 \\
+Delcroix, Thibault&Montpellier&&&& \\
+Deng, Ya&Nancy&&&& \\
+Dutta, Yajnaseni&Leiden&&&1&1 \\
+Engel, Phil&Bonn&1&1&&1 \\
+Eyssidieux, Phillippe&Grenoble&&&& \\
+Floris, Enrica&Poitiers&&&1& \\
+Friedman, Robert&Columbia&&&&1 \\
+Gachet, Cécile&Bochum&1&1&1&1 \\
+Graf, Patrick&Bayreuth&1&&& \\
+Greb, Daniel&Essen&1&&& \\
+Guedj, Vincent&Toulouse&&&& \\
+Guenancia, Henri&Toulouse&&&& \\
+Hausel, Tamas&IST Austria&&&&1 \\
+Hein, Hans-Joachim&Münster&1&&& \\
+Höring, Andreas&Nice&&&& \\
+Hoskins, Victoria&Nijmegen&&&1&1 \\
+Hwang, Jun-Muk&Daejon, Korea&&&& \\
+Javanpeykar, Arian&Nijmegen&&&& \\
+Kirwan, Frances&Oxford&&&1&1 \\
+Klingler, Bruno&Berlin&1&&& \\
+Lehn, Christian&Bochum&1&&& \\
+Li, Chi&Purdue&&&& \\
+Llosa Isenrich, Claudio&Karlsruhe&1&&&1 \\
+Mauri, Mirko&Paris&&&& \\
+Maxim, Laurenţiu&Wisconsin, Madison&&&&1 \\
+Mustață, Mircea&Ann Arbor&&&& \\
+Park, Sung Gi&Harvard&&1&&1 \\
+Peternell, Thomas&Bayreuth/Hannover&1&&& \\
+Pieropan, Marta&Utrecht&&&1&1 \\
+Popa, Mihnea&Harvard&&&& \\
+Pozzetti, Beatrice&Heidelberg&1&&1&1 \\
+Py, Pierre&Strasbourg&&&&1 \\
+Rousseau, Erwan&Brest&&&& \\
+Schnell, Christian&Stony Brook&&&& \\
+Spelta, Irene&Berlin&1&&1&1 \\
+Stenger, Isabel&Hannover&1&1&1&1 \\
+Sun, Song&Berkely&&&&1 \\
+Székelyhidi, Gabor&Northwestern&&&&1 \\
+Wang, Botong&Wisconsin&&&&1 \\
+Wang, Julie Tzu-Yueh&Taiwan&&&1&1 \\
+Xie, Zhixin&Nancy&&1&1&1
+\end{longtable}
+} % \scriptsize
+
 
 \bibstyle{alpha}
 \bibliographystyle{alpha}

general.bib

@@ -1,3 +1,19 @@
+@Article{zbMATH07863260,
+ Author = {Li, Yang and Tosatti, Valentino},
+ Title = {Special {K{\"a}hler} geometry and holomorphic {Lagrangian} fibrations},
+ FJournal = {Comptes Rendus. Math{\'e}matique. Acad{\'e}mie des Sciences, Paris},
+ Journal = {C. R., Math., Acad. Sci. Paris},
+ ISSN = {1631-073X},
+ Volume = {362},
+ Number = {S1},
+ Pages = {171--196},
+ Year = {2024},
+ Language = {English},
+ DOI = {10.5802/crmath.629},
+ Keywords = {14Jxx,53Cxx,32Qxx},
+ zbMATH = {7863260}
+}
+
 @misc{arXiv:2207.03283,
       title={Hyperbolicity in presence of a large local system}, 
       author={Yohan Brunebarbe},