[geometry-ml:06626] 大阪大学幾何セミナー(12月22日)

[Masataka Iwai]

皆様

大阪大学の岩井雅崇です. 大阪大学幾何セミナーのご案内をいたします.

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日時:
2025年12月22日(月) 13:30--15:00

場所:
大阪大学理学部E404講義室(豊中キャンパス)

講演者:
Xiaojun Wu (大阪公立大学)

タイトル:
Compact Kähler Manifolds with Nef Anticanonical Bundle

アブストラクト:
In this talk, we present recent results obtained in collaboration with
Shin-ichi Matsumura, Juanyong Wang, and Qimin Zhang, concerning
compact Kähler manifolds whose anticanonical bundle is nef. It has
been conjectured that every compact Kähler manifold with nef
anticanonical bundle admits a locally trivial fibration over a
Calabi–Yau manifold. Significant progress has been made in the
projective setting, in particular through the works of Cao and Höring,
who established the structure of projective varieties with nef
anticanonical bundles. However, extending these results to the compact
Kähler setting poses substantial challenges. The recent breakthrough
of Wenhao Ou, who resolved a conjecture proposed by Boucksom,
Demailly, Păun, and Peternell, provides new tools to address these
difficulties. Building on these developments, we aim to show that the
conjecture holds in full generality for compact Kähler manifolds.
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今後のセミナー予定表: http://www4.math.sci.osaka-u.ac.jp/sembbs2/announce.cgi
皆様のご参加をお待ちしております.

世話人：岩井雅崇, 濱中翔太, 松本佳彦（順不同）

大阪大学大学院理学研究科数学専攻
岩井雅崇
住所: 560-0043　大阪府豊中市待兼山町１-１
メールアドレス: masataka ＠ math.sci.osaka-u.ac.jp, masataka.math ＠ gmail.com,
iwai.masataka.sci ＠ osaka-u.ac.jp