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Big Data Conference 2024
September 6, 2024 - September 7, 2024      9:00 am
https://cmsa.fas.harvard.edu/event/bigdata_2024/   On  September 6-7, 2024, the CMSA will host the tenth annual Conference on Big Data. The Big Data Conference features speakers from the...
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  • CMSA EVENT: CMSA General Relativity Seminar: A quasi-local mass in general relativity

    Speaker: Aghil Alaee – Clark University

    11:00 AM-12:00 PM
    January 30, 2024
    20 Garden Street, Cambridge, MA 02138
    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 that it has desired asymptotic behaviors at null and spatial infinity of asymptotically flat spacetimes. Rigidity is also established in that vanishing energy implies that the 2-surface arises from an embedding into Minkowski space, and conversely, the mass vanishes for any such surface. This is joint work with M. Khuri and S.T. Yau.

    Zoom: https://harvard.zoom.us/j/7855806609

    Password: cmsa

  • CMSA EVENT: CMSA Member Seminar: On complete Calabi-Yau metrics and Monge-Ampere equations

    Speaker: Freid Tong – Harvard

    12:00 PM-1:00 PM
    January 30, 2024-February 2, 2024

    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 and uniqueness of non-compact Calabi-Yau metrics remain unanswered. I will give an introduction to this subject and discuss some ongoing joint work with T. Collins and S.-T. Yau, on a new relationship between complete Calabi-Yau metrics and a new Monge-Ampere equation.

    Friday, Feb. 2nd at 12pm, with lunch, lounge at CMSA (20 Garden Street). Also by Zoom: https://harvard.zoom.us/j/92410768363

  • SEMINARS: Mathematical Picture Language Seminar: Inverse theorems and approximate structure

    Speaker: Frederick Manners – University of California, San Diego

    4:30 PM-5:30 PM
    January 30, 2024

    We call a function f linear if f(x+y) = f(x) + f(y) holds for all x,y. It is natural to call f “99% linear” if instead, this identity holds for most pairs (x,y); say, 99% of
    pairs. Similarly, we could say f is “1% linear” if this identity holds 1% of the time. A natural question is then: what can we say about the structure of “99% linear” or “1% linear” functions? Are they always just perturbations of true 100% linear functions, or are there other examples?

    Given almost any algebraic definition, you can similarly ask about its approximate variants, and if you can prove a strong positive statement, it tends to have applications. In particular, I will discuss how 1% linear functions relate to the Polynomial Freiman-Ruzsa conjecture, and how 1% polynomial functions relate to the Inverse Theorem for the Gowers norms.

    Zoom QR Code & Link:
    https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09
    Passcode: 657361
    https://mathpicture.fas.harvard.edu/seminar

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