You will only need to wear very comfortable clothes, bring a yoga mat, and possibly a small blanket to cover yourself during the final relaxation. A cushion or yoga block could also be useful if sitting on the mat is uncomfortable for you.

The yoga lessons will take place in the auditorium, though we could also explore the possibility of occasionally practicing outdoors.

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We consider a system of n coupled KPZ equations on \T=[0,1), coupled through the quadratic nonlinearities.  The coupling constant \gamma^i_{j,k} which multiplies \nabla (h^j h^k) in the ith equation, together form an n\times n\times n real tensor \Gamma = \{\gamma^i_{j,k}\}_{1\leq i,j,k\leq n}.  When \Gamma is trilinear, that is, when the values of \gamma^i_{j,k} are the same under permutations of i,j,k, the system has a global-in-time solution starting from, say, a Wiener invariant measure.  

There is debate about the associated lateral and transversal scalings of the solutions, which would indicate their fluctuation class.  In this talk, after some background, we discuss necessary/sufficient conditions on \Gamma, found via invariant theory, so that the system decouples under an orthogonal transformation \sigma \in O(n), that is when (\sigma h)_i solves independent 1D KPZ equations.  These are explicit when n \leq 3.  In such a case, the fluctuation class can be identified by those of the 1D marginal systems, well-known as either KPZ or EW classes.  We also discuss the situation of `partial' decoupleability when, under a \sigma, at least one of the equations splits off from the others.  This is based on a recent arXiv paper with B. Fu, T. Funaki, and S.C. Venkataramani.

You will only need to wear very comfortable clothes, bring a yoga mat, and possibly a small blanket to cover yourself during the final relaxation. A cushion or yoga block could also be useful if sitting on the mat is uncomfortable for you.

The yoga lessons will take place in the auditorium, though we could also explore the possibility of occasionally practicing outdoors.