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Approaches to the formalization of differential geometry

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

https://youtu.be/oiOpudgC0J4 New Technologies in Mathematics Seminar Speaker: Heather Macbeth, Fordham University Title: Approaches to the formalization of differential geometry Abstract: In the last five years, there has been early work on the computer formalization of differential geometry. I will survey the projects I am aware of. I will also describe two projects of my own, […]

Event Series Quantum Matter in Mathematics and Physics Seminar

Gauging spacetime inversions

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

Quantum Matter in Mathematics and Physics Seminar Speaker: Daniel Harlow (MIT) Title: Gauging spacetime inversions Abstract: Spacetime inversion symmetries such as parity and time reversal play a central role in physics, but they are usually treated as global symmetries. In quantum gravity there are no global symmetries, so any spacetime inversion symmetries must be gauge […]

Event Series Member Seminar

Anti-Iitaka conjecture in positive characteristic

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

CMSA Member Seminar Speaker: Iacopo Brivio (Harvard) Title: Anti-Iitaka conjecture in positive characteristic Abstract: Given a smooth projective variety, its Kodaira dimension kappa(K_X) is an important invariant that measures the rate of growth of m-pluricanonical forms as a function of m. It serves as an higher-dimensional generalization of the genus of a Riemann surface. If f : X […]

CMSA/MATH Bi-Annual Gathering

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

On Friday, Jan. 26, 2024 the CMSA will host the CMSA/MATH Bi-Annual Gathering for Harvard CMSA and Math affiliates in the CMSA Common Room at 20 Garden Street, Cambridge MA 02138.

Event Series General Relativity Seminar

A quasi-local mass in general relativity

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

https://youtu.be/hmRFX1Js6IA General Relativity Seminar Speaker: Aghil Alaee, Clark University Title: A quasi-local mass in general relativity Abstract: In this talk, we define a new gauge-independent quasi-local mass and energy with respect to the Minkowski spacetime. In contrast to other quasi-local masses, this new quasi-local mass/energy has a quasi-local proof of positivity. This positivity property is for spacelike surfaces with any topology.  Moreover, we show […]

Event Series Algebraic Geometry in String Theory Seminar

Algebraic billiards and dynamical degrees

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

Algebraic Geometry in String Theory Seminar Speaker: Max Weinreich (Harvard) Title: Algebraic billiards and dynamical degrees Abstract: Billiards is one of the most-studied dynamical systems, modeling the behavior of a point particle bouncing around some space. If the space is a plane region bounded by an algebraic curve, then we may use techniques from algebraic geometry […]

Event Series Quantum Matter in Mathematics and Physics Seminar

Quantum Circuits to local Hamiltonian: role in quantum complexity and new constructions 

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

Quantum Matter in Mathematics and Physics Seminar Speaker: Anurag Anshu (Harvard) Title: Quantum Circuits to local Hamiltonian: role in quantum complexity and new constructions Abstract: At the heart of the theory of NP completeness lies a mapping from classical circuits to constraint satisfaction problems (classical local Hamiltonians). The quantum analogue of this is the remarkable history […]

Event Series Member Seminar

On complete Calabi-Yau metrics and Monge-Ampere equations

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

CMSA Member Seminar Speaker: Freid Tong (Harvard CMSA) Title: On complete Calabi-Yau metrics and Monge-Ampere equations Abstract: Calabi-Yau metrics are central objects in K\"ahler geometry and also string theory. The existence of Calabi-Yau metrics on compact manifolds was answered by Yau in his solution of the Calabi conjecture, but the situation in the non-compact setting is much more delicate, and many questions related to the existence […]

Arithmetic Quantum Field Theory Program

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

Arithmetic Quantum Field Theory Program Dates: Feb. 5–Mar. 29, 2024 Location: Harvard CMSA, 20 Garden Street, Cambridge MA 02138 Arithmetic Quantum Field Theory Program Youtube Playlist  Organizers: David Ben-Zvi (University of Texas Austin) Solomon Friedberg (Boston College) Natalie Paquette (University of Washington Seattle) Brian Williams (Boston University) This program features a weekly seminar series, workshops, […]

AQFT Lecture Series | Minhyong Kim

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

Arithmetic Quantum Field Theory Program Lecture Series Speaker: Minhyong Kim, University of Edinburgh Topic: Arithmetic topology and field theory Abstract: The setup of arithmetic topology as a bridge between the background of QFT to that of arithmetic (both “global” and “local”), including the “middle realm” of positive characteristic function fields. Slides (pdf)

AQFT Lecture Series | Brian Williams

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

Arithmetic Quantum Field Theory Program Lecture Series Speaker: Brian Williams, Boston University Topic: Algebraic quantum field theory Abstract: Questions and structures in arithmetic that have been / might be amenable to inspiration from QFT, in particular the theory of L-functions and the Langlands program.

AQFT Lecture Series | David Ben-Zvi

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

Arithmetic Quantum Field Theory Program Lecture Series Speaker: David Ben-Zvi Topic: The Langlands program via arithmetic QFT Abstract: Structures in QFT (like factorization for observables and functorial QFT for states and their relation to geometric / deformation quantization) that are sufficiently algebraic and formal to allow for arithmetic analogs.