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https://www.math.cuhk.edu.hk/seminars/cuspidal-irreducible-representations-connected-reductive-p-adic-groups-over-arbitrary-field
... characteristic p , G a connected reductive F -group and C a field of characteristic c . Cuspidal irreducible C -representations of the reductive p -adic group G ( F ) are totally mysterious if c = p , their existence is ...
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https://www.math.cuhk.edu.hk/seminars/unitary-representations-3-manifold-groups-and-atiyah-floer-conjecture
... is the space of the representations of its fundamental group, a.k.a. the 3-manifold group, into a Lie group. Any 3-manifold can be decomposed as the union of two ...
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https://www.math.cuhk.edu.hk/seminars/geometry-affine-schubert-varieties-and-applications
... on a partial flag variety attached to a connected reductive group. They play a central role in representation theory and combinatorics. ... varieties are similar objects but attached to a loop group rather than a group. They play a role in representation theory, ...
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https://www.math.cuhk.edu.hk/course/math3070
... map, homeomorphism,
connectedness, metric space, group action on a topological space
and quotient topology. Fundamental Group: loop, space of loops,
homotopy, calculation of fundamental groups of ...
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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 ...
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https://www.math.cuhk.edu.hk/seminars/local-systems-geometry-and-arithmetic
... Poincaré the ones of algebraic topology and the fundamental group. Grothendieck showed the two worlds are analog and developed the notion of étale fundamental group. Where do we find (continuous) representations of those in mathematics? ...
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https://www.math.cuhk.edu.hk/course/math5070
... and maps, Sard's Theorem, degree of maps, fundamental
group, covering space, homology group. Students taking this
course are expected to have knowledge in ...
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https://www.math.cuhk.edu.hk/course/math2070
... fields, polynomial rings, Boolean algebras; Permutation group, coset and factor group, normal subgroup, isomorphism theorems.
Course Code: ...
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https://www.math.cuhk.edu.hk/news/themes-math4900-seminar
... Cube
In this section, topics are to examine how group theory is used to model Rubik’s cube and similar puzzles.
Concrete and fun examples in finite group theory as well as ideas to solve the puzzles will be discussed.
...
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https://www.math.cuhk.edu.hk/seminars/lagrangian-zigzag-cobordisms
... that interesting concepts such as the smooth concordance group and the smooth four-genus (as a metric on the smooth concordance group) do not have a natural analogue in contact geometry. In this talk, we ...
