Billiards is one of the most-studied dynamical systems, modeling the behavior of a point particle bouncing around some space. If the space is a plane region bounded by an algebraic...
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The multispecies ASEP (mASEP) is a Markov chain in which particles of different species hop on a one-dimensional lattice. The doubly ASEP (DASEP) is like the mASEP, but it additionally...
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See webpage for more details: https://people.math.harvard.edu/~ctm/sem/
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We call a function f linear if f(x+y) = f(x) + f(y) holds for all x,y. It is natural to call f "99% linear" if instead, this identity holds for...
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In this talk, we define a new gauge-independent quasi-local mass and energy with respect to the Minkowski spacetime. In contrast to other quasi-local masses, this new quasi-local mass/energy has a...
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Spacetime inversion symmetries such as parity and time reversal play a central role in physics, but they are usually treated as global symmetries. In quantum gravity there are no global...
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This semester we will go through the work of Burklund, Hahn, Levy and Schlank on the construction of counterexamples to the telescope conjecture.
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I will describe a machine that lets us go between certain problems in topology and problems in non-commutative algebra. One main question of interest to topologists is how to distinguish...
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It is well known that the Young lattice is the Bratelli diagram of the symmetric groups, expressing how irreducible representations restrict from S(n) to S(n-1). In 1975 Stanley discovered a...
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In the last five years, there has been early work on the computer formalization of differential geometry. I will survey the projects I am aware of. I will also describe...
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