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9:00am |
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11:00am |
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12:00pm |
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1:00pm |
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2:00pm |
[2:00pm] Kriti Goel
- Description:
- Thursday, 30 August 2018
Room 215, 2.00-3.30
Speaker: Kriti Goel
Title: Mixed multiplicities of ideals
Abstract: The concept of Hilbert-Samuel polynomial for an m-primary ideal
was extended for two m-primary ideals by P. B. Bhattacharya. In other
words, the function l(R/I^rJ^s) is given by a polynomial for r, s large.
The coefficients appearing in the highest total degree terms in the
polynomial are called the mixed multiplicities. These were investigated by
B. Teissier (and J. J. Risler) in his Cargese paper.
In a series of two talks, we will look at some properties of mixed
multiplicities, using superficial elements. These talks aim to cover the
preliminaries required for reading the paper 'A generalization of an
inequality of Lech relating multiplicity and colength' by C. Huneke, I.
Smirnov and J. Validashti.
[3:00pm] Dr. Iker Perez, Assistant Professor in Statistics at the University of Nottingham, UK
- Description:
- Speaker: Dr. Iker Perez, Assistant Professor in Statistics at the
University of Nottingham, UK
Date: 30th Aug 2018
Time 3-4 pm
Venue: Ramanujan Hall
Title: Approximate Uncertainty Quantification with Jump Processes
Abstract:
This talk will discuss foundational statistical challenges and
probabilistic considerations associated with families of stochastic jump
models, which often find applications in domains such as genetics,
epidemiology, mathematical biology or operations research. I will review
Markov jump processes, and by means of common accessible examples, discuss
the strong impediments posed by real-world application scenarios to inverse
uncertainty quantification tasks.
Next, I will discuss current statistical advances linked to structured jump
systems along with relevant literature. Through a model exemplar borrowed
from queueing theory, I will finally present an approximate and scalable
variational Bayesian framework, suitable for uncertainty quantification
tasks with a large class of structured processes. The talk will further
include examples with applications of the methods introduced.
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