3:30pm - RH 340N - Geometry and TopologyYu-Shen Lin - (Boston University)On the moduli spaces of ALH*-gravitational instantons Gravitational instantons are defined as non-compact hyperKahler Earlier time and joint seminar with Differential Geometry Seminar. |

3:30pm - RH 340N - Differential GeometryYu-Shen Lin - (Boston University)On the moduli spaces of ALH*-gravitational instantons Gravitational instantons are defined as non-compact hyperKahler Special date/time and joint with Geometry and Topology Seminar. |

4:00pm to 5:00pm - RH 306 - Applied and Computational MathematicsShuhao Cao - (University of Missouri–Kansas City)Structure-conforming operator learning via Transformers GPT, Stable Diffusion, AlphaFold 2, etc, all these state-of-the-art deep learning models use a neural architecture called "Transformers". Since the emergence of "Attention Is All You Need", Transformer is now the ubiquitous architecture in deep learning. At Transformer's heart and soul is the "attention mechanism". In this talk, we shall give a specific example of a fundamental but critical question: whether and how one can benefit from the theoretical structure of a mathematical problem to develop task-oriented and structure-conforming deep neural networks? An attention-based deep direct sampling method is proposed for solving Electrical Impedance Tomography, a class of boundary value inverse problems. Progresses within different communities to answer some open problems on the mathematical properties of the attention mechanism in Transformers will be briefed. This is joint work with Ruchi Guo (UC Irvine) and Long Chen (UC Irvine). |

4:00pm - ISEB 1200 - Differential GeometrySiu-Cheong Lau - (Boston University)Quivers, stacks, and mirror symmetry In this talk, we will start by introducing quiver representations |

9:00am to 9:50am - Zoom - Inverse ProblemsJianliang Qian - (Michigan State University)A Fast Microlocal Hadamard-Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources |