Difference between revisions of "WVU Math Colloquia"

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'''Wednesdays at 4pm EDT'''<br />
+
'''Mondays at 4pm EDT'''<br /> Armstrong Hall 315
[https://wvu.zoom.us/j/96317244165?pwd=YVJGWHdxb2lGUHlkZEdRT1NPRFFsUT09 zoom link] (pass ''mathAdi2'')
+
[https://wvu.zoom.us/j/91064873237?pwd=R2lMSkpDUHREaU1xeUdDeVJHT2ZaUT09 zoom link] (pass ''euclid2022'')
  
  
The 2021-2022 Applied Mathematics Seminar is organized by Adrian Tudorascu and Casian Pantea.
+
The 2022-2023 WVU Math Colloquium is organized by Chris Ciesielski, Robert Mnatsakanov and Casian Pantea.
The talks are on zoom until further notice. The regular time for the Seminar is on Wednesday at 4:00 p.m. (in some cases we will schedule the seminar at different times, to accommodate speakers).
+
Talks are usually held on Mondays at 4pm in Armstrong Hall 315 (in some cases we will schedule the seminar at different days/times, to accommodate speakers).  
  
If you'd like to suggest speakers for the fall semester please contact Adrian or Casian.
+
If you'd like to suggest speakers for the fall semester please contact Chris, Robert, or Casian.
  
  
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| University of Pittsburgh
 
| University of Pittsburgh
 
|[[#Dehua Wang  |  Elastic effects on vortex sheets and vanishing viscosity ]]
 
|[[#Dehua Wang  |  Elastic effects on vortex sheets and vanishing viscosity ]]
 +
| 2:30pm, 315 ARM
 +
|
 +
|-
 +
|October 17
 +
| Farhad Jafari
 +
| University of Minnesota
 +
|[[#Farhad Jafari | Variational Problems, Moment Sequences and Positive Definiteness ]]
 
|
 
|
 
|-
 
|-
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| Tóth János
 
| Tóth János
 
| Budapest University of Technology and Economics
 
| Budapest University of Technology and Economics
|[[#Tóth János  |   The concept of reaction extent ]]
+
|[[#Tóth János  | The concept of reaction extent ]]
 
|
 
|
 +
|-
 +
|October 31
 +
| Zi-Xia Song
 +
| University of Central Florida
 +
|[[#Zi-Xia Song  |  Coloring Graphs with Forbidden Minors ]]
 +
|
 +
|-
 +
|November 14
 +
| Benjamin Bagozzi
 +
| University of Delaware
 +
|[[#Benjamin Bagozzi | Understanding the Politics of Information Access in Big Data Contexts ]]
 
|}
 
|}
  
 
=Abstracts=
 
=Abstracts=
  
===Veronica Ciocanel===
+
===Dehua Wang===
  
Actin filaments are polymers that interact with myosin motor
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'''''Elastic effects on vortex sheets and vanishing viscosity'''''
proteins and play important roles in cell motility, shape, and
+
 
development. Depending on its function, this dynamic network of
+
Elasticity is important in continuum mechanics with a wide
interacting proteins reshapes and organizes in a variety of structures,
+
range of applications and is challenging in analysis. In this talk we
including bundles, clusters, and contractile rings. Motivated by
+
shall first review some basic mathematical results and then discuss
observations from the reproductive system of the roundworm C. elegans,
+
some special elastic effects in fluid flows. The first elastic effect
we use an agent-based modeling framework to simulate interactions
+
is the stabilizing effect of elasticity on the vortex sheets in
between actin filaments and myosin motor proteins inside cells. We also
+
compressible elastic flows. Some recent results on linear and
develop techniques based on topological data analysis to understand
+
nonlinear stability of compressible vortex sheets will be presented.
time-series data extracted from these filament network interactions.
+
The second effect is on the vanishing viscosity process of
These measures allow us to compare the filament organization resulting
+
compressible viscoelastic flows in the half plane under the no-slip
from myosin motors with different properties. Recently, we have also
+
boundary condition. Our results show that the deformation tensor can
studied how different models of myosin regulation predict actin network
+
prevent the formation of strong boundary layers. The talk is based on
organization during the cell cycle. This work also raises questions
+
the recent joint works with several collaborators.
about how to assess the significance of features in common topological
+
 
summaries.
+
===Farhad Jafari===
 +
 
 +
'''''Variational  Problems, Moment Sequences and Positive Definiteness'''''
 +
 
 +
Our ability to reformulate many problems in science and engineering in terms of variational  (and control) problems continue to keep this area of mathematics current and of great interest. In this presentation we reformulate these problems as problems in measure theory and use moment methods to study them. Relating variational problems to moment methods has brought new interest in moment methods, moment completion problems and algebras of rational functions. This talk will connect these areas and (briefly) will show applications of moment methods to reconstruction problems in tomography.
  
 
===Tóth János===
 
===Tóth János===
  
===The concept of reaction extent===
+
'''''The concept of reaction extent'''''
  
 
The concept of reaction extent or the progress of a reaction, advancement of the reaction, conversion, etc. was introduced around 100 years ago.
 
The concept of reaction extent or the progress of a reaction, advancement of the reaction, conversion, etc. was introduced around 100 years ago.
Line 64: Line 86:
  
 
We also show how to apply this concept to exotic reactions: reactions with more than one stationary state, oscillatory reactions, and reactions showing chaotic behavior. With the new definition, one can calculate not only the time evolution of the concentration of each reacting species but also the number of occurrences of the individual reaction events.
 
We also show how to apply this concept to exotic reactions: reactions with more than one stationary state, oscillatory reactions, and reactions showing chaotic behavior. With the new definition, one can calculate not only the time evolution of the concentration of each reacting species but also the number of occurrences of the individual reaction events.
 +
 +
This is joint work with Vilmos Gáspár.
 +
 +
=== Zi-Xia Song===
 +
 +
'''''Coloring Graphs with Forbidden Minors'''''
 +
 +
[[Media:SongAbstract.png|'''Abstract link''']]
 +
 +
 +
===Benjamin Bagozzi===
 +
 +
'''''Understanding the Politics of Information Access in Big Data Contexts'''''
 +
 +
Access to information (ATI) systems empower groups and individuals to request information from their governments and obligate these governments to respond, subject to certain legal exemptions. These systems are now in operation in over 100 countries worldwide. The data that are generated by ATI systems can often be characterized as having (i) fine-grained spatio-temporal properties, (ii) extensive amounts of text, (iii) sender-receiver characteristics, and (iv) potential privacy concerns. For political science, such data offer researchers an opportunity to study questions related to government responsiveness, bureaucratic performance, and public accountability at near-unprecedented levels of disaggregation. This presentation highlights the opportunities and challenges associated with ATI data for both data science and political science audiences. Its focus is primarily on Mexico's federal ATI system and over two million associated ATI requests and responses covering the 2003-2020 period. Applications of supervised and unsupervised machine learning tools to the texts of these requests and their responses will be presented, alongside analyses of these request-response measures in relation to government responsiveness in Mexico.

Latest revision as of 19:12, 26 October 2022

Mondays at 4pm EDT
Armstrong Hall 315 zoom link (pass euclid2022)


The 2022-2023 WVU Math Colloquium is organized by Chris Ciesielski, Robert Mnatsakanov and Casian Pantea. Talks are usually held on Mondays at 4pm in Armstrong Hall 315 (in some cases we will schedule the seminar at different days/times, to accommodate speakers).

If you'd like to suggest speakers for the fall semester please contact Chris, Robert, or Casian.


Schedule

date speaker institution title notes
September 15 Dehua Wang University of Pittsburgh Elastic effects on vortex sheets and vanishing viscosity 2:30pm, 315 ARM
October 17 Farhad Jafari University of Minnesota Variational Problems, Moment Sequences and Positive Definiteness
October 24 Tóth János Budapest University of Technology and Economics The concept of reaction extent
October 31 Zi-Xia Song University of Central Florida Coloring Graphs with Forbidden Minors
November 14 Benjamin Bagozzi University of Delaware Understanding the Politics of Information Access in Big Data Contexts

Abstracts

Dehua Wang

Elastic effects on vortex sheets and vanishing viscosity

Elasticity is important in continuum mechanics with a wide range of applications and is challenging in analysis. In this talk we shall first review some basic mathematical results and then discuss some special elastic effects in fluid flows. The first elastic effect is the stabilizing effect of elasticity on the vortex sheets in compressible elastic flows. Some recent results on linear and nonlinear stability of compressible vortex sheets will be presented. The second effect is on the vanishing viscosity process of compressible viscoelastic flows in the half plane under the no-slip boundary condition. Our results show that the deformation tensor can prevent the formation of strong boundary layers. The talk is based on the recent joint works with several collaborators.

Farhad Jafari

Variational Problems, Moment Sequences and Positive Definiteness

Our ability to reformulate many problems in science and engineering in terms of variational (and control) problems continue to keep this area of mathematics current and of great interest. In this presentation we reformulate these problems as problems in measure theory and use moment methods to study them. Relating variational problems to moment methods has brought new interest in moment methods, moment completion problems and algebras of rational functions. This talk will connect these areas and (briefly) will show applications of moment methods to reconstruction problems in tomography.

Tóth János

The concept of reaction extent

The concept of reaction extent or the progress of a reaction, advancement of the reaction, conversion, etc. was introduced around 100 years ago. Most of the literature provides a definition for the exceptional case of a single reaction step or gives an implicit definition that cannot be made explicit. Starting from the standard definition we extend the classic definition of the reaction extent in explicit form for an arbitrary number of species and of reaction steps and arbitrary kinetics. Then, we study the mathematical properties (evolution equation, continuity, monotony, differentiability, etc.) of the defined quantity, and connect them to the formalism of modern reaction kinetics. Our approach tries to adhere to the customs of chemists and be mathematically correct simultaneously.

We also show how to apply this concept to exotic reactions: reactions with more than one stationary state, oscillatory reactions, and reactions showing chaotic behavior. With the new definition, one can calculate not only the time evolution of the concentration of each reacting species but also the number of occurrences of the individual reaction events.

This is joint work with Vilmos Gáspár.

Zi-Xia Song

Coloring Graphs with Forbidden Minors

Abstract link


Benjamin Bagozzi

Understanding the Politics of Information Access in Big Data Contexts

Access to information (ATI) systems empower groups and individuals to request information from their governments and obligate these governments to respond, subject to certain legal exemptions. These systems are now in operation in over 100 countries worldwide. The data that are generated by ATI systems can often be characterized as having (i) fine-grained spatio-temporal properties, (ii) extensive amounts of text, (iii) sender-receiver characteristics, and (iv) potential privacy concerns. For political science, such data offer researchers an opportunity to study questions related to government responsiveness, bureaucratic performance, and public accountability at near-unprecedented levels of disaggregation. This presentation highlights the opportunities and challenges associated with ATI data for both data science and political science audiences. Its focus is primarily on Mexico's federal ATI system and over two million associated ATI requests and responses covering the 2003-2020 period. Applications of supervised and unsupervised machine learning tools to the texts of these requests and their responses will be presented, alongside analyses of these request-response measures in relation to government responsiveness in Mexico.