<html><body style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class="">皆様<br class=""><br class="">東工大幾何セミナーのお知らせです。<br class=""><br class="">********************************************<br class=""><br class="">4月26日(金) 16:30-18:00 <br class="">大岡山キャンパス本館2階 H225 セミナー室（いつもと部屋が違います）<br class="">講演者 Ben Sibley 氏（Simons Center, Stony Brook)）<br class="">タイトル Complex algebraic compactifications of Hermitian-Yang-Mills moduli space<br class="">アブストラクト <div class=""><blockquote type="cite" class="">A key aspect of gauge theory is finding a suitable compactification for the moduli space of instantons. For higher dimensional manifolds posessing certain additional geometric structures, Tian has defined a notion of instanton and made progress towards a compactification analogous to Uhlenbeck's compactification of the moduli space of anti-self-dual connections on a four-manifold. In the case when the base manifold is Kähler, and the bundle in question is hermitian, instantons which are unitary and give rise to a holomorphic structures are Hermitian-Yang-Mills connections. A sequence of such connections is known to bubble at most along a codimension 2 analytic subvariety, and so one might hope that there is a gauge theoretic compactification which has the structure of a complex analytic space. I will attempt to explain why this true in the case when the base is projective. This gives a higher dimensional analogue of a theorem of Jun Li for algebraic surfaces. This is joint work with Daniel Greb, Matei Toma, and Richard Wentworth. Time allowing, I may also discuss the relationship of this project to the Yang-Mills flow on projective manifolds (Joint work with Richard Wentworth). <br class=""></blockquote><br class=""><br class="">********************************************<br class=""><br class="">セミナー室の場所については</div><div class=""><a href="http://www.math.titech.ac.jp/map.pdf" class="">http://www.math.titech.ac.jp/map.pdf</a></div><div class="">をご覧下さい。</div><div class=""><br class="">セミナーの後に懇親会を計画しております。<br class="">ご参加いただける方は<br class=""><br class="">4月22日(月) 17時までに<br class=""><br class="">本多（ <a href="mailto:honda@math.titech.ac.jp" class="">honda@math.titech.ac.jp</a>） 宛に<br class="">ご連絡いただきますようお願いいたします。<br class=""><br class="">今後のセミナーの予定については以下をご覧ください。<br class="">http://www.math.titech.ac.jp/page_05.html<br class=""><br class="">皆様のご参加をお待ちしております。<br class=""><br class="">本多宣博<br class="">東京工業大学理学院数学系</div></body></html>