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Extension of pluricanonical forms in positive and mixed characteristics

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

Member Seminar Speaker: Iacopo Brivio (CMSA) Title: Extension of pluricanonical forms in positive and mixed characteristics Abstract: The geometry of a complex manifold $X$ is to a large extent determined by its pluricanonical forms, i.e. global sections of $(\Omega^{\dim X}_X)^{\otimes m}$ for $m\geq 0$. A famous theorem of Siu states that when $X\to D$ is a smooth […]

Deformations of Landau-Ginzburg models and their fibers

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

Member Seminar Speaker: Zi Yang Kang Title: Deformations of Landau-Ginzburg models and their fibers Abstract: In mirror symmetry, the dual object to a Fano variety is a Landau-Ginzburg model. Broadly, a Landau-Ginzburg model is quasi-projective variety Y with a superpotential function w, but not all such pairs correspond to Fano varieties under mirror symmetry, so a […]

A quasi-local mass in general relativity

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

Member Seminar Speaker: Aghil Alaee Title: A quasi-local mass in general relativity Abstract: One of the fundamental open problems in geometric analysis and mathematical relativity is constructing a (universal) energy/mass quantity to compute the energy/mass of a finite region of spacetime, which can include a star, black hole, or galaxy. We define a new gauge-independent quasi-local mass […]

An introduction to mixture of experts in deep learning

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

Member Seminar Speaker: Samy Jelassi Title: An introduction to mixture of experts in deep learning Abstract: Scale has opened new frontiers in natural language processing – but at a high cost. Mixture-of-Experts (MoE) have been proposed as a path to even larger and more capable language models. They select different parameters for each incoming example. By […]

Open Problems in Physics and Novel Solutions from Math

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

Member Seminar Speaker: Juven Wang Title: Open Problems in Physics and Novel Solutions from Math   Abstract: (1) How do neutrinos obtain tiny mass and oscillate between e, \mu, \tau three flavors? What consists of Dark Matter? What causes leptogenesis and baryogenesis? (2) Why the Parity Symmetry is violated in the weak interaction? How do we quantum mechanically regularize and […]

On compactness phenomena

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

Member Seminar Speaker: Alejandro Poveda Title: On compactness phenomena Abstract: In this presentation I shall be preoccupied with compactness phenomena in set theory. Compactness is the phenomenon by which the local properties of a mathematical structure determine its global behavior. This phenomenon is intrinsic to the very architecture of the mathematical universe and manifests to us in a […]

Freedman CMSA Seminar

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

Freedman CMSA Seminar   2:00-3:30 pm ET Speaker: Mike Freedman, Harvard CMSA Title: Detecting hidden structures in linear maps Abstract: I'll consider the problem of detecting spectral features and tensor structures within linear maps both in a quantum and classical contexts. In the quantum context there is the question of whether a Hamiltonian is local, […]

Freedman CMSA Seminar

Virtual

Freedman CMSA Seminar *Note: via Zoom only* 2:00-3:30 pm ET Speaker: Matt Hastings, Microsoft Quantum Program Title: Invertible Phases of Matter and Quantum Cellular Automata: Dimensions One to Three Abstract: A Quantum Cellular Automaton (QCA) is a *-automorphism of the algebra of local operators. While local quantum circuits provide one example of QCA, we are […]

Freedman CMSA Seminar

Virtual

Freedman CMSA Seminar *Note: via Zoom only*   2:00-3:30 pm ET Speaker: Michael Freedman, Harvard CMSA Title: Some questions and theorems about closed 3 manifolds embedded in S^4 Abstract: Much is unknown about smooth embeddings of 3-manifolds in S^4; the Schoenflies problem  (Is there only one smoothly embedded 3-sphere in S^4 up to isotopy?) is […]

A simple model for universal quantum computation

Virtual

Freedman CMSA Seminar Speaker: Michael Freedman Title: A simple model for universal quantum computation Abstract: I’ll present joint (unpublished) work with Charlie Marcus on a surprisingly simple – and potentially practical (?)– model for universal quantum computation whose only quantum primitive is the ability to measure a pair of adjacent electrons into either singlet (spin=0) […]

Is every knot isotopic to the unknot?

Virtual

Freedman CMSA Seminar *via Zoom* Speaker: Sergey Melikhov, Steklov Math Institute Title: Is every knot isotopic to the unknot? Abstract: The following problem was stated by D. Rolfsen in his 1974 paper; according to R. Daverman it was being discussed since the mid-60s. Is every knot in $S^3$ isotopic (=homotopic through embeddings) to a PL knot --- […]

Freedman CMSA Seminar: Michael Freedman (CMSA) & Elia Portnoy (MIT)

Hybrid - G10

Freedman CMSA Seminar Speaker: Michael Freedman, Harvard CMSA (3:00–4:00 pm ET) Title: How many links can you fit in a box? Abstract: I’ll discuss a “made up” problem on the interface of topology and packing, which may well be classified as “recreational math”.  Here is the first question suppose you have a unit box, how many unlinked […]