https://youtu.be/vYXTKTmNFHg Topological Quantum Matter Seminar Speaker: Roman Geiko, UCLA Title: Homotopy classes of loops of Clifford unitaries Abstract: We study Clifford locality-preserving unitaries and stabilizer Hamiltonians by means of Hermitian K-theory. We demonstrate how the notion of algebraic homotopy of modules over Laurent polynomial rings translates into the connectedness of two short-range entangled stabilizer Hamiltonians […]
Topological Quantum Matter Seminar Speaker: Xueyang Song (MIT) Title: Phase transitions out of quantum Hall states in moire TMD bilayers Abstract: Motivated by the recent experimental breakthroughs in observing Fractional Quantum Anomalous Hall (FQAH) states in moir\'e Transition Metal Dichalcogenide (TMD) bilayers, we propose and study various unconventional phase transitions between quantum Hall phases and Fermi […]
Quantum Matter Seminar Speaker: Clay Córdova (U Chicago) Title: Anomalies of Non-Invertible Symmetries
Active Matter Seminar Speaker: Herbert Levine (Northeastern) Title: Frustration-free states of cell fate networks: the case of the epithelial-mesenchymal transition Abstract: Cell fate decisions are made by allowing external signals to govern the steady-state pattern adopted by networks of interacting regulatory factors governing transcription and translation. One of these decisions, of importance for both developmental processes […]
Member Seminar Speaker: Sunghyuk Park Title: Quantum UV-IR map and curve counts in skeins Abstract: Quantum UV-IR map (a.k.a. q-nonabelianization map), introduced by Neitzke and Yan, is a map from UV line defects in a 4d N=2 theory of class S to those of the IR. Mathematically, it can be described as a map between skein […]
https://youtu.be/TOfxA6N0Eds General Relativity Seminar Speaker: Rodrigo Silva, University of Maryland Title: Quantization of causal diamonds in 2+1 dimensional gravity Abstract: We develop the reduced phase space quantization of causal diamonds in $2+1$ dimensional gravity with a nonpositive cosmological constant. The system is defined as the domain of dependence of a spacelike topological disk with a […]
Speakers: Dan Freed (Harvard Math and CMSA), Denis Auroux (Harvard Math)
https://youtu.be/VDOvgjk_vVY Topological Quantum Matter Seminar Speaker: Jonah Herzog-Arbeitman, Princeton University Title: Exact Results in Flat Band Hubbard Models Abstract: Flat bands, like those in the kagome lattice or twisted bilayer graphene, are a natural setting for studying strongly coupled physics since the interaction strength is the only energy scale in the problem. They can exhibit unconventional behavior in the multi-orbital […]
https://youtu.be/wTQH6mRDXhw New Technologies in Mathematics Seminar Speaker: Ronen Eldan, Microsoft Research Title: The TinyStories Dataset: How Small Can Language Models Be And Still Speak Coherent Abstract: While generative language models exhibit powerful capabilities at large scale, when either the model or the number of training steps is too small, they struggle to produce coherent and fluent […]
Quantum Matter Seminar Speaker: Margarita Davydova (MIT) Title: Floquet codes, automorphisms, and quantum computation Abstract: In this talk, I will introduce a new kind of measurement-based quantum computation inspired by Floquet codes. In this model, the quantum logical gates are implemented by short sequences of low-weight measurements which simultaneously encode logical information and enable error correction. […]
Member Seminar Speaker: Chuck Doran Title: Modularity of Landau-Ginzburg Models Abstract: Fano varieties are the basic building blocks of algebraic varieties. Smooth Fano varieties have been classified in dimensions one (the projective line), two (del Pezzo surfaces), and three (Mori-Mukai classification). What does Mirror Symmetry have to say about such classifications? By studying the Landau-Ginzburg models mirror to […]
Friday, Sep 22, 2023 4:00 pm All CMSA and Math affiliates are invited.