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January
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  • 04
    January 4, 2021

    Current Developments in Mathematics 2020

    All day
    January 4, 2021-January 7, 2021

    All speakers will give two talks with a 10-minute break. All times are US Eastern Standard Time (EST).

    • Monday Jan 4, 2021
    • Yoshiko Ogata (University of Tokyo)
    8:00am   I: Classification of symmetry protected topological phases in quantum spin chains
    9:00am   II: Classification of symmetry protected topological phases in quantum spin chains
    • Prof. Ogata’s lecture notes linked here.

    • Tuesday Jan 5, 2021
    • Andras Vasy (Stanford University)
    4:00pm   I: The black hole stability problem — an introduction and results
    5:00pm   II: Analysis and geometry in the black hole stability problem
    • Prof. Vasy’s lecture slides

    • Wednesday Jan 6, 2021
    • Jinxin Xue (Tsinghua University)
    9:00am   I: Painleve conjecture in Newtonian N-body problem
    10:00am    II: Painleve conjecture in Newtonian N-body problem
    • Prof. Xue’s lecture notes

    • Thursday Jan 7, 2021
    • Michael Aizenman (Princeton University)
    10:00am   I: Marginal triviality of the scaling limits of 4D critical Ising and Φ44 models
    11:00am   II: Marginal triviality of the scaling limits of 4D critical Ising and Φ44 models
    • Prof. Aizenman’s lecture slides

    For online registration Click Here.

    Organizers: David Jerison, Paul Seidel, Nike Sun (MIT); Denis Auroux, Mark Kisin, Lauren Williams, Horng-Tzer Yau, Shing-Tung Yau (Harvard).

  • 05
    January 5, 2021

    Current Developments in Mathematics 2020

    All day
    January 5, 2021-January 7, 2021

    All speakers will give two talks with a 10-minute break. All times are US Eastern Standard Time (EST).

    • Monday Jan 4, 2021
    • Yoshiko Ogata (University of Tokyo)
    8:00am   I: Classification of symmetry protected topological phases in quantum spin chains
    9:00am   II: Classification of symmetry protected topological phases in quantum spin chains
    • Prof. Ogata’s lecture notes linked here.

    • Tuesday Jan 5, 2021
    • Andras Vasy (Stanford University)
    4:00pm   I: The black hole stability problem — an introduction and results
    5:00pm   II: Analysis and geometry in the black hole stability problem
    • Prof. Vasy’s lecture slides

    • Wednesday Jan 6, 2021
    • Jinxin Xue (Tsinghua University)
    9:00am   I: Painleve conjecture in Newtonian N-body problem
    10:00am    II: Painleve conjecture in Newtonian N-body problem
    • Prof. Xue’s lecture notes

    • Thursday Jan 7, 2021
    • Michael Aizenman (Princeton University)
    10:00am   I: Marginal triviality of the scaling limits of 4D critical Ising and Φ44 models
    11:00am   II: Marginal triviality of the scaling limits of 4D critical Ising and Φ44 models
    • Prof. Aizenman’s lecture slides

    For online registration Click Here.

    Organizers: David Jerison, Paul Seidel, Nike Sun (MIT); Denis Auroux, Mark Kisin, Lauren Williams, Horng-Tzer Yau, Shing-Tung Yau (Harvard).

  • 05
    January 5, 2021

    Fundamental bound on time signal generation

    10:00 AM-11:00 AM
    January 5, 2021

    Does quantum theory impose any limits on how accurately we can map out spacetime and, if yes, what are they? This question has been studied already in the early days of quantum theory, but it is still a topic of current research. If one takes an operational perspective then the answer obviously depends on how accurately we can generate and measure time signals. In this talk I will present a bound on the latter. Specifically, I will show that the accuracy of a time signal generated by a quantum device is fundamentally limited by an information-theoretic quantity, which we call the “controllable dimension” of the device. (This is joint work with Yuxiang Yang, arXiv:2004.07857.)

    Zoom: https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09

  • 06
    January 6, 2021

    Current Developments in Mathematics 2020

    All day
    January 6, 2021-January 7, 2021

    All speakers will give two talks with a 10-minute break. All times are US Eastern Standard Time (EST).

    • Monday Jan 4, 2021
    • Yoshiko Ogata (University of Tokyo)
    8:00am   I: Classification of symmetry protected topological phases in quantum spin chains
    9:00am   II: Classification of symmetry protected topological phases in quantum spin chains
    • Prof. Ogata’s lecture notes linked here.

    • Tuesday Jan 5, 2021
    • Andras Vasy (Stanford University)
    4:00pm   I: The black hole stability problem — an introduction and results
    5:00pm   II: Analysis and geometry in the black hole stability problem
    • Prof. Vasy’s lecture slides

    • Wednesday Jan 6, 2021
    • Jinxin Xue (Tsinghua University)
    9:00am   I: Painleve conjecture in Newtonian N-body problem
    10:00am    II: Painleve conjecture in Newtonian N-body problem
    • Prof. Xue’s lecture notes

    • Thursday Jan 7, 2021
    • Michael Aizenman (Princeton University)
    10:00am   I: Marginal triviality of the scaling limits of 4D critical Ising and Φ44 models
    11:00am   II: Marginal triviality of the scaling limits of 4D critical Ising and Φ44 models
    • Prof. Aizenman’s lecture slides

    For online registration Click Here.

    Organizers: David Jerison, Paul Seidel, Nike Sun (MIT); Denis Auroux, Mark Kisin, Lauren Williams, Horng-Tzer Yau, Shing-Tung Yau (Harvard).

  • 07
    January 7, 2021

    Current Developments in Mathematics 2020

    All day
    January 7, 2021-January 7, 2021

    All speakers will give two talks with a 10-minute break. All times are US Eastern Standard Time (EST).

    • Monday Jan 4, 2021
    • Yoshiko Ogata (University of Tokyo)
    8:00am   I: Classification of symmetry protected topological phases in quantum spin chains
    9:00am   II: Classification of symmetry protected topological phases in quantum spin chains
    • Prof. Ogata’s lecture notes linked here.

    • Tuesday Jan 5, 2021
    • Andras Vasy (Stanford University)
    4:00pm   I: The black hole stability problem — an introduction and results
    5:00pm   II: Analysis and geometry in the black hole stability problem
    • Prof. Vasy’s lecture slides

    • Wednesday Jan 6, 2021
    • Jinxin Xue (Tsinghua University)
    9:00am   I: Painleve conjecture in Newtonian N-body problem
    10:00am    II: Painleve conjecture in Newtonian N-body problem
    • Prof. Xue’s lecture notes

    • Thursday Jan 7, 2021
    • Michael Aizenman (Princeton University)
    10:00am   I: Marginal triviality of the scaling limits of 4D critical Ising and Φ44 models
    11:00am   II: Marginal triviality of the scaling limits of 4D critical Ising and Φ44 models
    • Prof. Aizenman’s lecture slides

    For online registration Click Here.

    Organizers: David Jerison, Paul Seidel, Nike Sun (MIT); Denis Auroux, Mark Kisin, Lauren Williams, Horng-Tzer Yau, Shing-Tung Yau (Harvard).

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