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  1. Algebraic Structures

    https://www.math.cuhk.edu.hk/course/math2070
    Course Description:  This course is intended as an introduction to modern abstract algebra and the way of ... fields, polynomial rings, Boolean algebras; Permutation group, coset and factor group, normal subgroup, isomorphism theorems. ...
  2. Topology of Manifolds

    https://www.math.cuhk.edu.hk/course/math5070
    Course Description:  This course is an introduction to several basic topological invariants for ... and maps, Sard's Theorem, degree of maps, fundamental group, covering space, homology group. Students taking this course are ...
  3. UGED1533 - Mathematics in Visual Art - 2016/17

    https://www.math.cuhk.edu.hk/course/1617/uged1533
    Course Name:  Mathematics in Visual Art Teacher:  Dr. Ping Shun CHAN Course Year:  2016/17 Term:  1 ... planar symmetries in visual art and their connection to group theory, and mathematical methods in the analysis of artworks. ...
  4. MATH1010B - University Mathematics - 2016/17

    https://www.math.cuhk.edu.hk/course/1617/math1010b
    Course Name:  University Mathematics Teacher:  Dr. Ping Shun CHAN Course Year:  2016/17 Term:  1 ... test is posted under Announcement of the Centralized Course Homepage . The date and venue of the Midterm Test has been ...
  5. Revision Exercise for MATH/BMED Freshmen 2018-19

    https://www.math.cuhk.edu.hk/revision-exercise-mathbmed-freshmen-2018-19
    ... now available for download: Revision Exercise (pdf, 116KB) Numerical Answer for the Revision Exercise (pdf, 52KB) Advice (pdf, 68KB) ...
  6. MATH4900B - Seminar - 2015/16

    https://www.math.cuhk.edu.hk/course/1516/math4900b
    Course Name:  Seminar Teacher:  Prof. Jiu Kang YU Course Year:  2015/16 Term:  1 MATH 4900B ... Cube In this section, topics are to examine how group theory is used to model Rubik’s cube and similar puzzles. Concrete ...
  7. Marked Length Spectrum Rigidity in Groups with Contracting Elements

    https://www.math.cuhk.edu.hk/seminars/marked-length-spectrum-rigidity-groups-contracting-elements
    ... of view. Namely, given two cobounded isometric actions of a group G on metric spaces X and Y, the coarse marked length spectrum rigidity ... the coarse version, in a very general setting, for any group actions with contracting property. In addition, we prove a finer marked ... Xiaoyu Xu (PKU). Poster:  poster.pdf ...
  8. Unipotent Representations of Complex Reductive Groups

    https://www.math.cuhk.edu.hk/seminars/unipotent-representations-complex-reductive-groups
    ... are a mysterious class of representations of a reductive group over the real or complex numbers, which are conjectured to form the ... defined a class of representations of a complex reductive group called `special unipotent representations.' These representations have ... 231103_representation_and_number_theory_lucas_mason-brown.pdf ...