华罗庚数学科学中心量子信息系列报告
报告人：Michele Tienni (Harvard University)
题 目：Subfactors and Topological Quantum Field Theories
时 间：2018.07.04（星期三），15:00-16:00
地 点：数学院南楼N902室
摘 要：We review the theory of topological quantum field theories (TQFTs) , particularly in relation to the work of A. Ocneanu. TQFTs allow us (among other things) to compute invariants of closed manifolds. Conversely, some manifold invariants allow us to construct TQFTs. An example of the latter approach appears in Ocneanu's work in subfactor theory. We analyze this TQFT and its relation to the theory of sectors in the work of M. Izumi.
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报告人：Alex Wozniakowski
题 目：An Introduction to Supervised Deep Learning
时 间：2018.07.04（星期三），16:20-17:20
地 点：数学院南楼N902室
摘 要：In this talk we discuss some elementary concepts in deep learning, which is a resurgent subfield of machine learning. We start by reviewing the basic recipe for constructing a machine learning algorithm, and we utilize this recipe to study the supervised learning problem. Deep learning algorithms are frequently designed to solve supervised learning problems, achieving state-of-the-art performance on benchmarks in computer vision, speech recognition, natural language processing (NLP), etc. We study the basic constituents of deep learning architectures, namely artificial neurons, such as the sigmoid family, softmax, and ReLU (rectified linear unit). Moreover, we study agglomerations of artificial neurons into deep artificial neural networks, which have neuroscientific and biological inspiration.
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报告人：Kaifeng Bu (Zhejiang University)
题 目：One-shot resource theory
时 间：2018.07.05（星期四），10:00-11:00
地 点：数学院南楼N226室
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报告人：Zhongzhu Lin (Kansas State University)
题 目：Representation theoretic and geometric approach to constructing quantum groups.
时 间：2018.07.06（星期五），15:00-16:00
地 点：数学院南楼N902室
摘 要：Since Gabriel's discovery of the one-to-one correspondence between indecomposable representations of a Dynkin quiver and the positive roots of the simple Lie algebra corresponding to the Dynkin diagram, quiver representation theory has been closely tied to Lie algebras in many ways. Ringel's reconstruction of quantum enveloping algebras in terms of Hall algebras of the representations of the Dynkin quiver over finite has lifted connection to a new level and inspired Lusztig to construct the canonical basis. In this talk, I will outline both approaches to constructing quantum groups as well as other subsequent approaches such as Bridgeland's approach in terms of two steps complexes and two parameter quantum groups arising from geometric approach by Fan and Li.
