How do Transformers reason? First principles via automata, semigroups, and circuits

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

https://youtu.be/g8zdumOAWzw New Technologies in Mathematics Seminar Speaker: Cyril Zhang, Microsoft Research Title: How do Transformers reason? First principles via automata, semigroups, and circuits Abstract: The current "Transformer era" of deep learning is marked by the emergence of combinatorial and algorithmic reasoning capabilities in large sequence models, leading to dramatic advances in natural language understanding, program synthesis, […]

Controlling Quantum Matter with Quantum Cavity Fields

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

https://youtu.be/Ig468DbAVGs Topological Quantum Matter Seminar Speaker: Vasil Rokaj (Harvard) Title: Controlling Quantum Matter with Quantum Cavity Fields Abstract: Cavity modification of material properties and phenomena is a novel research field motivated by the advances in strong light-matter interactions . For condensed matter systems it has been demonstrated experimentally that the transport properties of 2D materials […]

Compactness and Anticompactness Principles in Set Theory

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Member Seminar Speaker: Alejandro Poveda Title: Compactness and Anticompactness Principles in Set Theory Abstract: Several fundamental properties in Topology, Algebra or Logic are expressed in terms of Compactness Principles.For instance, a natural algebraic question is the following: Suppose that G is an Abelian group whose all small subgroups are free - Is the group G free? […]

Representation Theory, Calabi–Yau Manifolds, and Mirror Symmetry

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Videos are available on the CMSA Youtube Playlist. On November 28 - Dec 1, 2022, the CMSA hosted a Workshop on Representation Theory, Calabi-Yau Manifolds, and Mirror Symmetry. Organizers: An Huang (Brandeis University) | Siu-Cheong Lau (Boston University) | Tsung-Ju Lee (CMSA, Harvard) | Andrew Linshaw (University of Denver) Scientific Advisor: Shing-Tung Yau (Harvard, Tsinghua) Location: […]

Continuum field theory of graphene bilayer system

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

https://youtu.be/BIABg2zFVGE Topological Quantum Matter Seminar Speaker: Jian Kang, School of Physical Science and Technology, ShanghaiTech University, Shanghai, China Title: Continuum field theory of graphene bilayer system Abstract: The Bistritzer-MacDonald (BM) model predicted the existence of the narrow bands in the magic-angle twisted bilayer graphene (MATBG), and nowadays is a starting point for most theoretical works. […]

Light states in the interior of CY moduli spaces

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Member Seminar Speaker: Damian van de Heisteeg Title: Light states in the interior of CY moduli spaces Abstract: In string theory one finds that states become massless as one approaches boundaries in Calabi-Yau moduli spaces. In this talk we look in the opposite direction, that is, we search for points where the mass gap for these light […]

Dynamic and multicolor electron microscopy

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Active Matter Seminar Speaker: Max Prigozhin (Harvard) Title: Dynamic and multicolor electron microscopy Abstract: My lab is developing biophysical methods to achieve multicolor and dynamic biological imaging at the molecular scale. Our approach to capturing the dynamics of cellular processes involves cryo-vitrifying samples after known time delays following stimulation using custom cryo- plunging and high-pressure freezing […]

Noether’s Learning Dynamics: Role of Symmetry Breaking in Neural Networks

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Colloquium Speaker: Hidenori Tanaka (NTT Research at Harvard) Title: Noether’s Learning Dynamics: Role of Symmetry Breaking in Neural Networks Abstract: In nature, symmetry governs regularities, while symmetry breaking brings texture. In artificial neural networks, symmetry has been a central design principle, but the role of symmetry breaking is not well understood. Here, we develop a […]

Vacuum fluctuations in cavities: breakdown of the topological protection in the integer Quantum Hall effect

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

https://youtu.be/mtheRASO2e0 Topological Quantum Matter Seminar Speaker: Jérôme Faist  (ETH Zurich) Title: Vacuum fluctuations in cavities: breakdown of the topological protection in the integer Quantum Hall effect Abstract: When a collection of electronic excitations are strongly coupled to a single mode cavity, mixed light-matter excitations called polaritons are created. The situation is especially interesting when the […]

The Emergence Proposal in Quantum Gravity and the Species Scale

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Swampland Seminar Speaker: Alvaro Herraez (Saclay) Title: The Emergence Proposal in Quantum Gravity and the Species Scale Abstract: The Emergence Proposal claims that in Quantum Gravity the kinetic terms of the fields in the IR emerge from integrating out (infinite) towers of particles up to the QG cutoff. After introducing this proposal in the context of the Swampland […]

Quantum trace and length conjecture for hyperbolic knot

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Member Seminar Speaker: Mauricio Romo Title: Quantum trace and length conjecture for hyperbolic knot Abstract: I will define the quantum trace map for an ideally triangulated hyperbolic knot complement on S^3. This map assigns an operator to each element L of  the Kauffman Skein module of knot complement.  Motivated by an interpretation of this operator in the context of […]

Liouville quantum gravity from random matrix dynamics

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Probability Seminar Speaker: Hugo Falconet (Courant Institute, NYU) Title: Liouville quantum gravity from random matrix dynamics Abstract: The Liouville quantum gravity measure is a properly renormalized exponential of the 2d GFF. In this talk, I will explain how it appears as a limit of natural random matrix dynamics: if (U_t) is a Brownian motion on the unitary […]