集中講義

発表言語 英語
開催日 2010年03月10日 15時00分
終了日 2010年03月10日 17時00分
開催場所京都大学理学部3号館 (数学教室) 110講演室
タイトル GCOE集中講義 (3) "Protein moduli space" 
分野 その他
講演者名Robert Penner 氏
講演者所属Aarhus Univ./Univ. of Southern California
概要1) "Proteins and their intrinsic geometry"

  This first lecture will introduce proteins in several guises: poetical, chemical, geometrical, dynamical and empirical.

2) "Discrete models of protein geometry"

  Techniques from decorated Teichm\"uller theory provide natural discrete models of protein geometry by associating fatgraphs with discrete labels to proteins. Attributes of the associated fatgraph may be taken as protein descriptors, but these attributes must be robust for experimental errors and/or indeterminacies in order to be meaningful. A number of robust such descriptors have been successfully applied to give new methods of protein domain classification.

3) "Protein moduli space"

  The discrete model leads naturally to a continuous model of proteins, in effect, amounting to the passage from G=Z/2 to G=SO(3) graph connections. This, in turn, leads to a sensible definition of the moduli space of proteins. This furthermore uncovers a treasure trove of new structure that can be derived from the standard empirical databases and applied to the prediction of protein folding.