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Integrable systems and Riemann surface exams

Institution: 
SISSA
Location: 
A-136
Schedule: 
Tuesday, September 25, 2018 - 14:00 to 16:00
Abstract: 
14.00-15.00
 
Speaker: Kaiwen Sun
 
Title: On variational formula of moduli of Riemann surfaces
 
Abstract: The seminar aims at deriving the variational  formulas of moduli of Riemann surface as obtained in the articles  “ Rauch, H. E. Weierstrass points, branch points, and moduli of Riemann surfaces. Comm. Pure Appl. Math. 12 1959, 543–560” and "Kokotov, A.; Korotkin, D. Tau-functions on Hurwitz spaces. Math. Phys. Anal. Geom. 7 (2004), no. 1, 47–96.
 
15.00-16.00
 
Speaker: Guido Mazzuca

Title: Forced lattice vibration

Abstract: The Toda lattice with  zero boundary conditions and driven from one end will be considered.  It will be shown that  an ample family of travelling wave solutions exist.

The talk  is based on  the paper :Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos Forced lattice vibrations. I, II. Comm. Pure Appl. Math. 48 (1995), no. 11, 1187–1249, 1251–1298.

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