1. Course Background & Purposes

Give a broad overview of selected topics in computational and applied aspects of Algebra, Geometry, and Topology. This includes the fundamental computational tools of Gröbner bases, Homotopy Continuation, Persistent Homology. We will also discuss basic algorithms/computations on Grassmann, Flag, and Stiefel manifolds.

2. Course Outline & Descriptions

Theme 1: Grobner Bases and Symbolic Computation: Theory, algorithms, and applications.

Theme 2: Homotopy Continuation and Numeric Computation: Theory, algorithms, and applications.

Theme 3: Real Algebraic Geometry and Probabilistic Computation: Theory, algorithms, and applications.

Theme 4: Grassmann, Flag, and Steifel Manifolds: Theory, algorithms, and applications.

Theme 5: Persistent Homology: Theory, algorithms, and applications.

3.Registration

https://forms.gle/YKK5XiCT8HPKqvReA

4. WebEx Link

0524: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m0d6bbb21d89064e2add59b94f37153cd

0531: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m3101107c84f03788116f9231f25b05f1

0607: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=ma627a7a7e82ac31d82c0f8bbbe65bf80

0614: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=mb57de6ef2425ff9a1aa9c89015538d24