Guest Lecture
Besides lectures and tutorials, we also organize guest talks for EPYMT students.
In 2016 summer, we are going to organize the following talks:
1. Guest Lecture on 12
July 2016
| Topic | A Short Trip to
Tropical Geometry |
| Speaker | Prof. LAU
Siu-Cheong
Assistant Professor,
Boston University |
| Date | 12 July 2016 (Tue) |
| Time | 2:30pm - 4:00pm |
| Venue | LT1, Lady Shaw Building (LSB), The Chinese University of Hong Kong (Map) |
| Abstract |
Tropical
geometry is a relatively young
subject which provides
beautiful
visualizations of algebraic
varieties and powerful combinatorial
ways to compute `invariants'. It
is called `tropical' because the
subject
was found in tropical
area, namely one of the founders
Imre Simon
(1943-2009) was a
Brazilian mathematician. In this
talk we will attack
various
amoebas in the tropical world and
extract useful geometric content
from them. |
| Files | Slides of the talk (Click to download)
|
2. Guest Lecture on 19 July 2016
| Topic | Class Numbers,
Zeta Values and their Congruences |
| Speaker | Mr. TSOI Kwok Wing
PhD Candidate, London School of
Geometry and Number Theory |
| Date | 19 July 2016 (Tue) |
| Time | 2:30pm - 4:00pm |
| Venue | LT1, Lady Shaw Building (LSB), The Chinese University of Hong Kong (Map) |
| Abstract |
We know that (most of) the integers
can be decomposed as a product of
prime numbers in a unique way.
However, this is not necessarily
true if one looks at an "extension"
of the integers. The notion of class
numbers, firstly introduced by Gauss
and generalised by Dedekind, was to
measure this dis-crepancy of the
uniqueness of the prime
decomposition. In the 19th century,
Kummer discovered a mysterious
relation between the class numbers
and the values of the Riemann Zeta
Function, a func-tion named after
Riemann in the study of the
distribution of the prime numbers.
In this talk, we will survey these
ideas and motivate how they strike
the modern research in number
theory.
This talk would be informal and
adopt an example-based approach.
|
| Files | Slides of the talk (Click to download)
|
3. Guest Lecture on 22 July 2016
| Topic | Feynman Diagrams
and Graph Integrals |
| Speaker | Prof. MA Ziming
Assistant professor, National Taiwan
University |
| Date | 22 July 2016 (Fri) |
| Time | 2:30pm - 4:00pm |
| Venue | LT1, Lady Shaw Building (LSB), The Chinese University of Hong Kong (Map) |
| Abstract | Quantum field
theory (QFT), a theoretical tool for
constructing
quantum mechanical
models, suggest us to take weighted
average over all
possible path
of a particle. This forces us to
consider a mathematically
ill-defined integration over the set
of all possible paths (infinite
dimensional) called path integral.
The difficulty is gotten around by
expressing the integral in terms
of Feynman diagrams in some good
cases. |
All are welcome. No registration and payment is required. First come first served.
In 2015 summer, we
also held two guest talks. Many students enjoyed the talks and raised further mathematics questions.
Click here for details.
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