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#### Quantitative equidistribution of linear random walk on the torus

AbstractConsider the action of GL_d(Z) on the d-dimensional torus R^d/Z^d. Given a probability measure on GL_d(Z) and a point on the torus, a random walk is defined. In this talk, I will report some recent progress about the equidistribution of such random walks. More precisely, I will talk about quantitative results under the assumption that the acting group has semisimple Zariski closure. Thi...

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#### Z3 Discrete Theta Angle in 10D Heterotic String Theory and Topological Modular Forms | BIMSA-Tsinghua String Seminar

AbstractIn this talk, we identify a Zs discrete gravitational theta angle in the non-supersymmetricSO(16) x SO(16) heterotic string, which is detected by a 10D spacetime manifold that is anSp(2) group manifold. In the first part, we explain the string theory computation that identifies thisZ, theta angle, involving non-perturbative anomaly on the instantonic NS5 branes. in the secondpart, we mo...

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