From 5cf5d2860c55e8bcdda4396ec7b0cbecfa2922fb Mon Sep 17 00:00:00 2001 From: Stefan Kebekus Date: Thu, 25 Jul 2024 10:27:56 +0200 Subject: [PATCH] Abstract --- .vscode/ltex.dictionary.en-US.txt | 1 + .vscode/ltex.hiddenFalsePositives.en-US.txt | 1 + MFO26.tex | 24 +++++++++++++-------- 3 files changed, 17 insertions(+), 9 deletions(-) diff --git a/.vscode/ltex.dictionary.en-US.txt b/.vscode/ltex.dictionary.en-US.txt index 7c9b2e4..03dae99 100644 --- a/.vscode/ltex.dictionary.en-US.txt +++ b/.vscode/ltex.dictionary.en-US.txt @@ -85,3 +85,4 @@ Daskalopoulos Mese Nevanlinna arithmetics +Grauert diff --git a/.vscode/ltex.hiddenFalsePositives.en-US.txt b/.vscode/ltex.hiddenFalsePositives.en-US.txt index f23d677..81c41e8 100644 --- a/.vscode/ltex.hiddenFalsePositives.en-US.txt +++ b/.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$"} +{"rule":"MORFOLOGIK_RULE_EN_US","sentence":"^\\QThe workshop has a distinguished history, originating with Grauert and Remmert.\\E$"} diff --git a/MFO26.tex b/MFO26.tex index 2ce5847..e68399d 100644 --- a/MFO26.tex +++ b/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}{ @@ -106,17 +108,21 @@ study of Kähler spaces. Key topics to be covered include: \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 +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. +For the 2026 edition, it will feature 50\% new organizers and participants, +ensuring fresh perspectives and innovative contributions. + \section{Mathematics Subject Classification}