ORA-01403: no data found04 PROMOTED BY THE DOCTORATE: MATEMATICA APPLICATA TITLE: TOPOLOGY AND COMBINATORICS OF RNA STRUCTURES (DIDATTICA DI ECCELLENZA) CODE: 01QDQRQ PRESENTED BY F. Vaccarino CREDITS 4 PRESENTATION IL CORSO SI TERRA' NEL PERIODO: MAGGIO 2014 SARA' TENUTO DAL PROF C. M. REIDYS - UNIVERSITY OF SOUTHERN DENMARK This course first introduces basic topology, quotient spaces and polygonal regions. It then passes to the classification theorem of topological surfaces and introduces the notion of cell-complex. Next we introduce fatgraphs as cell complexes and unicellular maps. Thereafter we show how RNA structures fit into the picture. Then we discuss genus induction and its combinatorial corollaries. The course then analyzes shape polynominals and application to RNA folding and the uniform generation of RNA structures of fixed topological genus.