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
SiuCheong 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 (19432009) 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 discrepancy 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 function 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 examplebased 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
illdefined 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.

