"Path Dependence in the Labor Market: The Long-run Effects of Early Career Occupational Experience" | Jesse Bruhn (Brown)

Alan Sorensen (UW Madison)

Come by for snacks, and tea with Literature Section friends, instructors, students, etc. What are you reading? What 21L classes are you taking or hoping to take? This event is specifically geared towards undergrads; but open to friends of the community that engage in the literary and humanities at MIT.

Speaker: Daniel Spiegel (Harvard Univesity)Title: A Classifying Space for Phases of Matrix Product StatesAbstract: Alexei Kitaev has conjectured that there should be a loop spectrum consist- ing of spaces of gapped invertible quantum spin systems, indexed by spatial dimension 𝑑 of the lattice. Motivated by Kitaev’s conjecture, I will detail a concrete construction of a topological space 𝐵 consisting of translation in- variant injective matrix product states (MPS) of all physical and bond di- mensions, which plays the role of Kitaev’s space in dimension 𝑑 = 1. Hav- ing such a space is a useful tool in the discussion of parametrized phases of MPS; in fact, it allows us to define a parametrized phase as a homotopy class of maps into 𝐵.The space 𝐵 is constructed as the quotient of a contractible space 𝐸 of MPS tensors modulo gauge transformations. The projection map from 𝐸 to 𝐵 is a quasifibration, from which we can compute the homotopy groups of the classifying space 𝐵 by a long exact sequence. In particular, 𝐵 has the weak homotopy type 𝐾(ℤ, 2) × 𝐾(ℤ, 3), shedding light on Kitaev’s conjecture in the context of MPS.

What Do Market-Access Subsidies Do? Experimental Evidence from Tunisia

Join us on Monday evenings for Argentine tango classes with outstanding instructors. Whether you are completely new to tango, or already have some experience, you will find a friendly environment in which to learn new things and improve your technique. You don't have to bring a partner, since the classes involve rotations with all participants.Full Series: Sep 15, 22, 29, October 6, 13, 20, 27, Nov 3, 10, 17, 24, Dec 1, 8, 15.For all info and registration, visit following link.