Guests of honor:

Glass of directed polymers

Abbas Saberi

Sherry Chu, Ramis Movassagh

Outline

I.      Directed polymers in random media (DPRM): 6 vertex model, transfer matrix (TM)

II.     One DPRM: free energy and its fluctuations

III.   Few DPRMs: Cost of non-crossing condition

IV.    (Vortex) Glass of DPRM: Results from Replica Bethe Ansatz

V.     Log(TM)/t eigenvalues compared to random matrices

VI.    Summary

Next (DPRM introduction) Outline DPRM introduction One DPRM Few DPRM Glass of DPRM Random matrices Summary