The 1st AORC Center-wide Monthly seminar is on Jan. 31, 2018 (Wednesday).
All members are cordially invited to attend.
The dinner will be followed after the seminar.
Time : 2:30 pm - 5:30 pm
Venue : AORC Seminar Room
—————————————— Program ——————————————
1. 2:30 pm - 3:30 pm : Group 1 presentation
- Title : Enumeration of Young tableaux in a diagonal strip using operator approach
- Speaker : Meesue Yoo (SKKU)
- Abstract : In this talk, we derive enumeration formulas for the numbers of standard Young
tableaux of certain skew shapes using a transfer operator approach. This work was
done by Baryshnikov and Romik in 2010, extending the approach of Elkies who
proved the sums $\sum_{k=-\infty}^{\infty} (4k+1)^{-n}$ are rational multiples of $\pi
^n$ using transfer operator approach. We would like to see if we can use similar
approach to $q$-enumerate standard Young tableaux of certain shapes.
2. 3:30 pm - 4:30 pm : Group 2 presentation
- Title : A subspace SQP method for equality constrained optimization
- Speaker : Jae Hwa Lee (SKKU)
- Abstract : In this talk, we present a subspace SQP method for solving large scale
nonlinear equality constrained optimization. Our method is based on SQP method
and damped limited-memory BFGS update formula. We propose a suitable subspace.
In the case of few constraints, it is shown that our search direction in the subspace
is equivalent to that of SQP subproblem in the full space. Utilizing this result,
we obtain a global convergence property. In the case of many constraints, we consider
reduced constraints and then our method proceeds to make the value of a
particular exact penalty function decrease.
(This is an ongoing work with Prof. Yoon Mo Jung and Sangwoon Yun).
3. 4:30 pm - 5:30 pm : Group 3 presentation
- Title : Singular values of the Rogers-Ramanujan continued fraction
- Speaker : Ho Yun Jung (SKKU)
- Abstract : The Rogers-Ramanujan continued fraction can be viewed as a modular function of
some level from the relations with the Dedekind's eta function. In this talk, we see that
the singular values of the Rogers-Ramanujan continued fraction belong to a certain
abelian extension of an imaginary quadratic number field and can be written as nested
radicals in terms of quadratic numbers.
——————————————————————————————————————————————————