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Can embedding problems be used to distinguish S^4 from other (possible) homotopy 4-spheres?

Can embedding problems be used to distinguish S^4 from other (possible) homotopy 4-spheres?

CMSA 20 Garden Street, Cambridge, MA, United States

https://youtu.be/18eVp3fOh-4 Speaker: Michael Freedman, Harvard CMSA Title: Can embedding problems be used to distinguish S^4 from other (possible) homotopy 4-spheres? Abstract: There are approaches in the literature (using Khovanov homology) to detecting a homotopy 4-sphere, via the 4-ball genus of knots. I'd like to suggest moving from surfaces to 3-manifolds, that is approaching the problem […]

Corks for exotic diffeomorphisms

CMSA 20 Garden Street, Cambridge, MA, United States

https://youtu.be/HWL5Rg9B624 Speaker: Slava Krushkal, University of Virginia Title: Corks for exotic diffeomorphisms Abstract: Exotic smooth structures on simply-connected 4-manifolds are known to be related by cork twists: cutting out and re-gluing certain smooth contractible submanifolds. Work in progress, joint with A. Mukherjee, M. Powell, and T. Warren, provides a localization result for exotic diffeomorphisms of 4-manifolds. I will also discuss applications […]

Program on Mathematical Aspects of Scattering Amplitudes

CMSA 20 Garden Street, Cambridge, MA, United States

Mathematical Aspects of Scattering Amplitudes Program Dates: April 15 - May 24, 2024 Location: Harvard CMSA, 20 Garden Street, Cambridge, MA 02138 This program will bring together and foster interaction between theoretical physicists and mathematicians working on various topics connected to recent developments in our understanding of scattering amplitudes in quantum field theory. The field […]

2022 NSF FRG Workshop on Discrete Shapes

CMSA 20 Garden Street, Cambridge, MA, United States

On May 6–8, 2022, the CMSA  hosted a second NSF FRG Workshop. This project brings together a community of researchers who develop theoretical and computational models to characterize shapes. Their combined interests span Mathematics (Geometry and Topology), Computer Science (Scientific Computing and Complexity Theory), and domain sciences, from Data Sciences to Computational Biology. Scientific research […]

General Relativity Workshop

CMSA 20 Garden Street, Cambridge, MA, United States

General Relativity Workshop on scalar curvature, minimal surfaces, and initial data sets Dates: May 2–5, 2022 Location: Room G10, CMSA, 20 Garden Street, Cambridge MA 02138 and via Zoom webinar. Advanced registration for in-person components is required. Organizers: Dan Lee (CMSA/CUNY), Martin Lesourd (CMSA/BHI), and Lan-Hsuan Huang (University of Connecticut). Speakers: Zhongshan An, University of Connecticut […]

Workshop on Nonlinear Algebra and Combinatorics from Physics

CMSA 20 Garden Street, Cambridge, MA, United States

On April 27–29, 2022, the CMSA hosted a workshop on Nonlinear Algebra and Combinatorics. Organizers: Bernd Sturmfels (MPI Leipzig) and Lauren Williams (Harvard). In recent years, ideas from integrable systems and scattering amplitudes have led to advances in nonlinear algebra and combinatorics. In this short workshop, aimed at younger participants in the field, we will […]

Higgs = SPT

CMSA 20 Garden Street, Cambridge, MA, United States

https://www.youtube.com/watch?v=11vWx0H-PKs&list=PL0NRmB0fnLJQAnYwkpt9PN2PBKx4rvdup&index=14 Speaker: Ruben Verresen Title: Higgs = SPT Abstract: The Higgs phase of a gauge theory is important to both fundamental physics (e.g., electroweak theory) as well as condensed matter systems (superconductors and other emergent phenomena). However, such a charge condensate seems subtle and is sometimes described as the spontaneous breaking of gauge symmetry (or a […]

General Relativity Conference

CMSA 20 Garden Street, Cambridge, MA, United States

https://www.youtube.com/playlist?list=PL0NRmB0fnLJTTVV5eLYJbJUHxi-3BipfS Schedule | April 4–8, 2022 Monday, April 4, 2022 Time (ET) Speaker Title/Abstract 9:30 am–10:30 am Pieter Blue, University of Edinburgh, UK (virtual) Title: Linear stability of the Kerr spacetime in the outgoing radiation gauge Abstract: This talk will discuss a new gauge condition (i.e. coordinate condition) for the Einstein equation, the linearisation of […]

Math Science Lectures in Honor of Raoul Bott

CMSA 20 Garden Street, Cambridge, MA, United States

On October 4th and October 5th, 2021, Harvard CMSA will host its annual Math Science Lectures in Honor of Raoul Bott. This year’s speaker will be Michael Freedman (Microsoft). The lectures will take place from 11:00am – 12:15pm (ET) on Zoom. This will be the third annual lecture series held in honor of Raoul Bott. Lecture 1 October 4th, 11:00am (Boston time) Title: […]

CMSA Colloquium 9/15/2021 – 5/25/2022

CMSA 20 Garden Street, Cambridge, MA, United States

During the 2021–22 academic year, the CMSA will be hosting a Colloquium, organized by Du Pei, Changji Xu, and Michael Simkin. It will take place on Wednesdays at 9:30am – 10:30am (Boston time). The meetings will take place virtually on Zoom. All CMSA postdocs/members are required to attend the weekly CMSA Members’ Seminars, as well as the weekly CMSA […]

Swampland Program

CMSA 20 Garden Street, Cambridge, MA, United States

During the 2021–2022 academic year, the CMSA will host a program on the so-called “Swampland.” The Swampland program aims to determine which low-energy effective field theories are consistent with nonperturbative quantum gravity considerations. Not everything is possible in String Theory, and finding out what is and what is not strongly constrains the low energy physics. These constraints are naturally […]

Existence of Canonical Metrics on Non-Kähler Geometry

CMSA 20 Garden Street, Cambridge, MA, United States

https://www.youtube.com/watch?v=PPgLS5ehdV0 On Wednesday September 9, CMSA director Prof. Shing-Tung Yau gave a lecture for the Simons foundation on Existence of Canonical Metrics on Non-Kähler Geometry. In this lecture, Prof. Yau surveys the existence of canonical balanced metrics on non-Kähler complex manifolds through the Hull-Strominger system, which was motivated by string theory on compactifications. He discusses […]