Calendar of Events organised in conjunction
with Faculty of
Science 80th Anniversary Celebrations
For full listing of
events organised by the faculty, click here
| Date |
Event |
Suitable
for |
| Jan
to Dec
1st talk will be held on 4 March, scroll down for details
|
Mathematics Distinguished Speakers Series
(Organized by Department of Mathematics)
|
Public
|
| 5 Jan - 6 Feb
|
Program on
Progress in Stein’s Method
(Jointly organized by Institute for Mathematical Sciences (IMS),
Department of Mathematics and Department of Statistics and Applied
Probability) |
Academics/ Researchers
|
| 22-27 Jun
|
Eleventh Asian Logic Conference
(Jointly organized by Institute for Mathematical Sciences and Faculty of
Science)
|
Academics/ Researchers
|
| Jul (date TBA) |
Colloquium
Lecture by
Professor S. R.
S. Varadhan, Courant Institute of Mathematical
Sciences,
New York
University
(Jointly organized by Institute for Mathematical Sciences, Department of
Mathematics and Department of Statistics and Applied Probability)
|
Academics/ Researchers
|
| 1 Jul - 31 Aug
|
Program on Mathematical Theory and Numerical Methods
for Computational Materials Simulation and Design
(Jointly organized by Institute for Mathematical Sciences and Department
of Mathematics)
|
Academics/ Researchers
|
|
|
|
|
|
|
|
|
|
Mathematics
Distinguished Speakers Series
An Overview of Some Recent Trends in Invariant Theory
by Professor Roger HOWE,
Yale University
,
USA
Date: Wed,
04 Mar 2009
Time: 2.00 PM
Venue: Department of Mathematics,
Block S14 #03-10
About the Speaker:
Professor
Roger E. Howe, member of the National Academy of Sciences, USA and fellow of
the
American
Academy
of Arts and Sciences, and Professor
of Mathematics at
Yale
University
, is a scholar
of distinction. Professor Howe's major
research interest is in applications of symmetry, particularly harmonic
analysis, group representations, automorphic forms
and invariant theory. Professor Howe has
had extensive contact with and significant influence within the mathematical
community in the Asia-Pacific region. He has on many occasions visited
universities in
Australia
,
Israel
,
Japan
,
Singapore
,
Hong Kong
and
China
. He is currently chair of the
Scientific Advisory Board of the Institute for Mathematical Sciences at the
National University of Singapore.
Abstract:
Since the early days of invariant theory, an
important goal has been to describe the ring of all invariant polynomial functions
for a given group action on a vector space.
However, progress has been limited by the
fact that aside from a restricted number of favorable examples, these rings
tend to have rather complicated structure.
In recent years, the value of using the idea
of toric deformation has emerged as a promising tool
in invariant theory. Toric deformation allows one to
replace a complicated ring by a simpler one that still carries most or all of
the numerical and combinatorial information that one wants from the ring of
invariants. The simpler rings can be described in terms of lattice cones: the
collection of integral points in a convex polyhedral cone in Euclidean space.
This gives rise to a theory with a geometric flavor in which numbers of
interest, such as dimensions of eigenspaces, are
described by the collection of integral points in a convex polyhedron.
Toric deformations
promise to provide a systematic understanding of topics that have been the
subject of intense and continuing study since the early 20th century.
|