### TBD

- Series
- School of Mathematics Colloquium
- Time
- Thursday, March 12, 2020 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Oscar Bruno – Caltech

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- Series
- School of Mathematics Colloquium
- Time
- Thursday, March 12, 2020 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Oscar Bruno – Caltech

- Series
- High Dimensional Seminar
- Time
- Wednesday, March 11, 2020 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Santosh Vempala – Georgia Tech

TBA

- Series
- Analysis Seminar
- Time
- Wednesday, March 11, 2020 - 13:55 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Isabelle Chalendar – Université Paris-Est - Marne-la-Vallée

- Series
- Mathematical Biology Seminar
- Time
- Wednesday, March 11, 2020 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Ralf Bundschuh – The Ohio State University

The prediction of RNA secondary structures from sequence is a well developed task in computational RNA Biology. However, in a cellular environment RNA molecules are not isolated but rather interact with a multitude of proteins. RNA secondary structure affects those interactions with proteins and vice versa proteins binding the RNA affect its secondary structure. We have extended the dynamic programming approaches traditionally used to quantify the ensemble of RNA secondary structures in solution to incorporate protein-RNA interactions and thus quantify these effects of protein-RNA interactions and RNA secondary structure on each other. Using this approach we demonstrate that taking into account RNA secondary structure improves predictions of protein affinities from RNA sequence, that RNA secondary structures mediate cooperativity between different proteins binding the same RNA molecule, and that sequence variations (such as Single Nucleotide Polymorphisms) can affect protein affinity at a distance mediated by RNA secondary structures.

- Series
- PDE Seminar
- Time
- Tuesday, March 10, 2020 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Thomas Kieffer – Georgia Tech – tkieffer3@gatech.edu

TBA

- Series
- Algebra Seminar
- Time
- Monday, March 9, 2020 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Mark Skandera – Lehigh University

Merris and Watkins interpreted results of Littlewood to give generating functions for symmetric group characters induced from one-dimensional characters of Young subgroups. Beginning with an n by n matrix X of formal variables, one obtains induced sign and trivial characters by expanding sums of products of certain determinants and permanents, respectively. We will look at a new analogous result which holds for hyperoctahedral group characters induced from the four one-dimensional characters of its Young subgroups. This requires a 2n by 2n matrix of formal variables and four combinations of determinants and permanents. This is joint work with Jongwon Kim.

- Series
- Geometry Topology Seminar
- Time
- Monday, March 9, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Allison Miller – Rice University – allison.miller@rice.edu

- Series
- Applied and Computational Mathematics Seminar
- Time
- Monday, March 9, 2020 - 13:55 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Guillermo Goldsztein – Georgia Tech – ggold@math.gatech.edu

On June 10, 2000, the Millennium Bridge in London opened to the public. As people crossed the bridge, it wobbled. The sway of the bridge was large enough that prompted many on the bridge to hold on to the rails. Three days later, the bridge closed. It reopened only after modifications to prevent the wobbling were made, eighteen months later. We develop and study a model motivated by this event

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, March 9, 2020 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Allison Miller – Rice University – allison.miller@rice.edu

- Series
- Combinatorics Seminar
- Time
- Friday, March 6, 2020 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Pavel Skums – Georgia State University – pskums@gsu.edu

We study self-similar and fractal networks from the combinatorial perspective. We establish analogues of topological (Lebesgue) and fractal (Hausdorff) dimensions for graphs and demonstrate that they are naturally related to known graph-theoretical characteristics: rank dimension and product (or Prague or Nešetřil-Rödl) dimension. Our approach reveals how self-similarity and fractality of a network are defined by a pattern of overlaps between densely connected network communities. It allows us to identify fractal graphs, explore the relations between graph fractality, graph colorings and graph Kolmogorov complexity, and analyze the fractality of several classes of graphs and network models, as well as of a number of real-life networks. We demonstrate the application of our framework to evolutionary studies by revealing the growth of self-organization of heterogeneous viral populations over the course of their intra-host evolution, thus suggesting mechanisms of their gradual adaptation to the host's environment. As far as the authors know, the proposed approach is the first theoretical framework for study of network fractality within the combinatorial paradigm. The obtained results lay a foundation for studying fractal properties of complex networks using combinatorial methods and algorithms.

Based on joint work with Leonid Bunimovich

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