MATH 3349, MATH 4349, MATH 6209 - Special Topics in Mathematics

Maths Special Topics Class meeting Semester 2, 2024

Date: Monday, 22nd July 2024 
Time: 10am Canberra
Venue: Seminar room - 1.33, HN building #145

Semester 2, 2024 - Topics classes

Timetabled variable-topic classes:
MATH 6216 Topics in Algebra (Asilata Bapat) - Representation Theory.  This will be an IBL class, which you can Google for info.
MATH6211 Topics in Mathematical Physics (Murray Batchelor) - Integrable Models and Knot Theory
 
MATH3349/4349/6209 topics:
Information Geometry (Brett Parker)  This topics studies families of probability distributions using differential geometry. The course will require significant mathematical maturity, and some background in differential geometry. We will start with the survey article `An elementary introduction to Information Geometry
 
Topics on mirror symmetry  (Bryan Wang) Prerequisite:  Advanced Algebra 1 (MATH2322), Advanced Differential Geometry (MATH3342). Assignments, presentations, final report.  Topics include (1) Physics background (1 week)
(2) The origin of MS: String theory, D-branes.  (2 weeks)
(3) Mathematics background: K-theory, coherent sheaves, derived category, Fourier-Mukai transform (4 weeks)
(4) Kontsevich's homological mirror conjecture (2 weeks)
(5) The Stromiger-Yau-Zaslow conjecture of MS (2 weeks)
(6) Examples and applications (1 week)
 
Differential Forms in Algebraic Topology (Anand Deopurkar) Reading course. Prerequisites: algebraic topology and differential geometry
 
Fraternal Twins: the unreasonable resemblance of the mean curvature and Ricci flows  (Mat Langford) In order to enrol, students must possess a mastery of real analysis and linear algebra (e.g. D or HD in Math1115 and Math1116), and a solid background in partial differential equations and differential geometry. Normally, this means that they have successfully completed the courses Math2306 (Applied Mathematics II), and Math3342 (Differential Geometry) with distinction or high distinction. Other evidence of ability may be accepted upon consultation --- for example, Math2242 (Introduction to Geometry: Curves and Surfaces), Phys3203 (General Relativity) or Math3351 (Special Topics in Mathematical Physics: Lie Algebras, Representation Theory and Applications) may take the place of Math3342, and Math4202 (Theory of Partial Differential Equations) may take the place of Math2306. Students who have a solid background in differential geometry but little exposure to PDE may enrol concurrently with Math4202.

 
Schemes in Algebraic Geometry (Ian Le) Prerequisites: previous course in Algebraic Geometry.  Interested students without this background should contact the lecturer.

 
Permission is required to enrol in any Special Topics class.  Honours and Masters students should consult with their conveners, while undergraduates should email the lecturer and/or attend the Topics Class Meeting at 10:00 on 22 July for more information.

Course details

For more information about this course visit the Programs & courses website.