Tuesday, July 7th, 2026
Workshop Mini Course: Greta Panova
Time: 9:15 AM - 10:45 AM
Location: SCGP 102
Title: Asymptotic algebraic combinatorics Part 2
Speaker: Greta Panova
Abstract: TBA
Title: Asymptotic algebraic combinatorics Part 2
Speaker: Greta Panova
Abstract: TBA
YITP Event: YITP Seminar Speaker: Collin Yuanjie Ren (MIT)
Time: 11:00 AM - 12:00 PM
Location: Zoom
Title: Quantum Codes: Algebra, Topology, and Thresholds
Abstract: The first part develops a gauging framework for quantum low-density parity-check codes with finite Abelian symmetry. We formulate gauging on a general finite gauging graph or cellulation, define the corresponding Gauss and flux constraints, and compare two equivalent constructions: a circuit gauging map and an algebraic decoration map. The gauging map identifies the globally symmetric matter codespace with the gauged codespace and induces the corresponding operator-algebra isomorphism. We then prove a distance-preservation result for gauged projected actions. This algebraic framework supports the later applications to logical Clifford measurements, gauging-based magic-state preparation, and bivariate bicycle code examples.The second part analyzes a just-in-time decoding procedure for Turaev-Viro codes. The decoder uses fixed-time syndrome clustering and a base-point contraction rule, while the probability estimate is organized using spacetime chunks, conglomerates, and sparse witnesses. The main deterministic statement reduces large logical failure events to the presence of large fault-side chunks. Combined with a local-stochastic noise assumption and sparse-witness counting, this gives a stretched-exponential suppression bound for the failure probability. Zoom: https://stonybrook.zoom.us/j/
Title: Quantum Codes: Algebra, Topology, and Thresholds
Abstract: The first part develops a gauging framework for quantum low-density parity-check codes with finite Abelian symmetry. We formulate gauging on a general finite gauging graph or cellulation, define the corresponding Gauss and flux constraints, and compare two equivalent constructions: a circuit gauging map and an algebraic decoration map. The gauging map identifies the globally symmetric matter codespace with the gauged codespace and induces the corresponding operator-algebra isomorphism. We then prove a distance-preservation result for gauged projected actions. This algebraic framework supports the later applications to logical Clifford measurements, gauging-based magic-state preparation, and bivariate bicycle code examples.The second part analyzes a just-in-time decoding procedure for Turaev-Viro codes. The decoder uses fixed-time syndrome clustering and a base-point contraction rule, while the probability estimate is organized using spacetime chunks, conglomerates, and sparse witnesses. The main deterministic statement reduces large logical failure events to the presence of large fault-side chunks. Combined with a local-stochastic noise assumption and sparse-witness counting, this gives a stretched-exponential suppression bound for the failure probability. Zoom: https://stonybrook.zoom.us/j/
Wednesday, July 8th, 2026
Workshop Mini Course: Greta Panova
Time: 9:15 AM - 10:45 AM
Location: SCGP 102
Title: Asymptotic algebraic combinatorics Part 3
Speaker: Greta Panova
Abstract: TBA
Title: Asymptotic algebraic combinatorics Part 3
Speaker: Greta Panova
Abstract: TBA
Workshop Mini Course: Tomohiro Sasamoto
Time: 11:15 AM - 12:45 PM
Location: SCGP 102
Title: Large deviations of interacting particle systems Part 1
Speaker: Tomohiro Sasamoto
Abstract: We consider large deviations of interacting particle systems and their connections to integrable systems. For the most standard system of symmetric simple exclusion process(SEP), the large deviation principle (LDP) was established by Kipnis-Olla-Varadhan in 1990. A related but somewhat different physical approach, called the macroscopic fluctuation theory (MFT), was introduced and developed by Jona-Lasinio et al from 2001 for a larger class of interacting particle systems. In this formulation the large deviation is determined by solving the MFT equations, which is a coupled non-linear PDEs. As such they are in general difficult to solve, but the MFT equations for SEP was mapped to a classical integral system (AKNS system) and solved by inverse scattering method a few years ago. In this lecture, we discuss these subjects by first giving an overview, explaining some basics about large deviation and then introducing a large deviation on a lattice for a class of interacting particle systems with spin. We also discuss connections to microscopic calculations by Bethe ansatz, ballistic version of MFT and so on.
Title: Large deviations of interacting particle systems Part 1
Speaker: Tomohiro Sasamoto
Abstract: We consider large deviations of interacting particle systems and their connections to integrable systems. For the most standard system of symmetric simple exclusion process(SEP), the large deviation principle (LDP) was established by Kipnis-Olla-Varadhan in 1990. A related but somewhat different physical approach, called the macroscopic fluctuation theory (MFT), was introduced and developed by Jona-Lasinio et al from 2001 for a larger class of interacting particle systems. In this formulation the large deviation is determined by solving the MFT equations, which is a coupled non-linear PDEs. As such they are in general difficult to solve, but the MFT equations for SEP was mapped to a classical integral system (AKNS system) and solved by inverse scattering method a few years ago. In this lecture, we discuss these subjects by first giving an overview, explaining some basics about large deviation and then introducing a large deviation on a lattice for a class of interacting particle systems with spin. We also discuss connections to microscopic calculations by Bethe ansatz, ballistic version of MFT and so on.
Thursday, July 9th, 2026
Workshop Mini Course: Tomohiro Sasamoto
Time: 11:15 AM - 12:45 PM
Location: SCGP 102
Title: Large deviations of interacting particle systems Part 2
Speaker: Tomohiro Sasamoto
Abstract: We consider large deviations of interacting particle systems and their connections to integrable systems. For the most standard system of symmetric simple exclusion process(SEP), the large deviation principle (LDP) was established by Kipnis-Olla-Varadhan in 1990. A related but somewhat different physical approach, called the macroscopic fluctuation theory (MFT), was introduced and developed by Jona-Lasinio et al from 2001 for a larger class of interacting particle systems. In this formulation the large deviation is determined by solving the MFT equations, which is a coupled non-linear PDEs. As such they are in general difficult to solve, but the MFT equations for SEP was mapped to a classical integral system (AKNS system) and solved by inverse scattering method a few years ago. In this lecture, we discuss these subjects by first giving an overview, explaining some basics about large deviation and then introducing a large deviation on a lattice for a class of interacting particle systems with spin. We also discuss connections to microscopic calculations by Bethe ansatz, ballistic version of MFT and so on.
Title: Large deviations of interacting particle systems Part 2
Speaker: Tomohiro Sasamoto
Abstract: We consider large deviations of interacting particle systems and their connections to integrable systems. For the most standard system of symmetric simple exclusion process(SEP), the large deviation principle (LDP) was established by Kipnis-Olla-Varadhan in 1990. A related but somewhat different physical approach, called the macroscopic fluctuation theory (MFT), was introduced and developed by Jona-Lasinio et al from 2001 for a larger class of interacting particle systems. In this formulation the large deviation is determined by solving the MFT equations, which is a coupled non-linear PDEs. As such they are in general difficult to solve, but the MFT equations for SEP was mapped to a classical integral system (AKNS system) and solved by inverse scattering method a few years ago. In this lecture, we discuss these subjects by first giving an overview, explaining some basics about large deviation and then introducing a large deviation on a lattice for a class of interacting particle systems with spin. We also discuss connections to microscopic calculations by Bethe ansatz, ballistic version of MFT and so on.
Friday, July 10th, 2026
Workshop Mini Course: Tomohiro Sasamoto
Time: 11:15 AM - 12:45 PM
Location: SCGP 102
Title: Large deviations of interacting particle systems Part 3
Speaker: Tomohiro Sasamoto
Abstract: We consider large deviations of interacting particle systems and their connections to integrable systems. For the most standard system of symmetric simple exclusion process(SEP), the large deviation principle (LDP) was established by Kipnis-Olla-Varadhan in 1990. A related but somewhat different physical approach, called the macroscopic fluctuation theory (MFT), was introduced and developed by Jona-Lasinio et al from 2001 for a larger class of interacting particle systems. In this formulation the large deviation is determined by solving the MFT equations, which is a coupled non-linear PDEs. As such they are in general difficult to solve, but the MFT equations for SEP was mapped to a classical integral system (AKNS system) and solved by inverse scattering method a few years ago. In this lecture, we discuss these subjects by first giving an overview, explaining some basics about large deviation and then introducing a large deviation on a lattice for a class of interacting particle systems with spin. We also discuss connections to microscopic calculations by Bethe ansatz, ballistic version of MFT and so on.
Title: Large deviations of interacting particle systems Part 3
Speaker: Tomohiro Sasamoto
Abstract: We consider large deviations of interacting particle systems and their connections to integrable systems. For the most standard system of symmetric simple exclusion process(SEP), the large deviation principle (LDP) was established by Kipnis-Olla-Varadhan in 1990. A related but somewhat different physical approach, called the macroscopic fluctuation theory (MFT), was introduced and developed by Jona-Lasinio et al from 2001 for a larger class of interacting particle systems. In this formulation the large deviation is determined by solving the MFT equations, which is a coupled non-linear PDEs. As such they are in general difficult to solve, but the MFT equations for SEP was mapped to a classical integral system (AKNS system) and solved by inverse scattering method a few years ago. In this lecture, we discuss these subjects by first giving an overview, explaining some basics about large deviation and then introducing a large deviation on a lattice for a class of interacting particle systems with spin. We also discuss connections to microscopic calculations by Bethe ansatz, ballistic version of MFT and so on.