京都大学大学院 情報学研究科 数理工学専攻 応用数学講座 数理解析分野
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関西可積分系セミナー (2001年12月4日)

日時
2001年12月4日(火)15時-16時30分
場所
京都大学本部キャンパス工学部総合校舎406会議室
Leonid Faybusovich (Univ. of Notre Dame)
Self-concordant barriers and matrix models

The goal to this talk is to describe a mysterious connection between self-concordant barrier functions arising in interior-point algorithms of optimization and matrix models of quantum field theory. Though the nature of these objects seems to be completely different, the mathematical structure appears to be remarkably similar. We will try to show how to exploit this connection to the benefit of optimization theory. The connection with completely integrable systems is also described.