Mathematics
http://events.berkeley.edu/index.php/calendar/sn/math.html
Upcoming EventsSpecial Seminar, Jun 12
http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=126030&date=2019-06-12
I’ll discuss a spin-off from joint work with Stanford physicists: Lenny Susskind and Adam Brown. We find an upper bound on the volume of balls in a Riemannian manifold $X$ somewhat stronger (i.e. smaller) than that obtained by comparing to the hyperbolic space of equal dimension and Ricci quadratic from agreeing with the minimum value achieved on $X$. The new idea is a method, “coefficient shuffling”, for studying correlated families of Jacobi equations.http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=126030&date=2019-06-12Gradient flows and entropy inequalities in dissipative quantum systems, Jun 27
http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=126265&date=2019-06-27
At the end of the 1990s it was discovered by <br />
Jordan/Kinderlehrer/Otto that the diffusion equation is a gradient flow <br />
in the space of probability measures, where the driving functional is <br />
the Boltzmann-Shannon entropy, and the dissipation mechanism is given by <br />
the 2-Wasserstein metric from optimal transport. This result has been <br />
the starting point for striking developments at the interface of <br />
analysis, probability, and metric geometry.<br />
In this talk I will review recent work, in which we introduced new <br />
optimal transport metrics that yield gradient flow descriptions for <br />
dissipative quantum systems satisfying detailed balance. This allows us <br />
to obtain sharp rates of convergence to equilibrium in several examples. <br />
The talk is based on joint work with Eric Carlen.http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=126265&date=2019-06-27Science Lecture - Seeing the Unseen, Jul 20
http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=126415&date=2019-07-20
The development of novel tools is of great importance to the advancement of science. New imaging methods in particular can bring a deeper understanding as we are used to grasping the world mainly by visualizing images.<br />
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When the limit of optical microscopy was reached, scientists found a way to enhance it and cheat their way beyond it. Eventually, they invented a whole different way of imaging – scanning probe microscopy. In this talk, Dr. Lachman will present the physics underlying the limits of optical microscopy, and talk about different types of scanning microscopes enabling the imaging of single atoms, magnetic fields, and electric currents on the nano-scale.http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=126415&date=2019-07-20Center for Computational Biology Seminar, Jul 24
http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=126719&date=2019-07-24
Not all proteins are created equal: Finding solution in translational control<br />
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Abstract:<br />
Protein synthesis is an indispensable process which accounts for a large proportion of the energetic resources of any living cells. Therefore, translational regulation must be tightly controlled. Such regulation is critical for protein biogenesis, folding, trafficking and degradation under stable and changing conditions. I will focus on the importance of hidden evolutionary signatures within the coding region of proteins that govern translational efficiency and dominate proteostasis in health and disease. I will discuss the notion of tRNA adaptation index (tAI) as an indirect measure for translation elongation efficiency. Specifically, I will show that proteins which must be localized to specific sites and organelles in cells evolved to support their optimal translation elongation rate. A link between an evolutionary signature within mRNAs and efficient management of protein production of synaptic proteins. As neuronal communication is governed by the coordinated action, proteins have an extreme demand for translational control. In the last part of the talk, I will extend the concept of translation regulation by illustrating the robustness of the translational machinery in view of post-translational regulation of miRNA in cells. I will present COMICS as a simulator that predict the global cell response to miRNA alterations in health and disease.<br />
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Bio:<br />
Michal Linial is a Professor of Biochemistry and Bioinformatics of the Hebrew University of Jerusalem (HUJI) and the Director of the Israeli Institute for Advance studies (IIAS) in Jerusalem (from 2012-2018). She served as the Director of the Sudarsky Center for Computational Biology at the Hebrew University and the head of Node for ELIXIR-IL. Prof. Linial obtained her Ph.D. in Molecular biology (1986) from the Hebrew University (HUJI). She then completed her post-doctoral training at Stanford, CA, on the field of cellular neurochemistry. On 1989 she joined the faculty of HUJI in the Biological Chemistry department. She is a founder (1999) and current chair of the honor educational program for Computational Biology in HUJI. She served as the director of the Israel Institute for Advanced Studies (2012-2018). ML is a former Vice-President of the International Society of Computational Biology (ISCB). Presently, she serves as the representative of Israel in the pan-European project of ELIXIR. ML has authored over 150 peer-reviewed papers and contributed to the development of bioinformatics databases and websites that are open to the large communities of the biomedical and Life science researchers. Her current research interests cover host-pathogen co-evolution, protein family evolution, miRNA mode of action. She applies large-scale technologies including next generation sequencing, genomics, GWAS, protein structure, mass spectrometry and evolution for revealing the different regulation levels cell in health and disease.http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=126719&date=2019-07-24Special Seminar, Aug 13
http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=127032&date=2019-08-13
A central question in 3-manifold topology was the Virtual Fibring Conjecture of Thurston, which states that every closed hyperbolic $3$-manifold virtually fibres over the circle. We will discuss Ian Agol's proof of the conjecture, and investigate how one can prove similar statements in the realm of group theory.http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=127032&date=2019-08-13Special Seminar, Aug 13
http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=127033&date=2019-08-13
We will look into an inductive approach to establishing Kazhdan's property (T) for $SL_n({\mathbb Z})$ and $Aut(F_n)$, and see how one can use computer calculations to cover the base case of the induction.http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=127033&date=2019-08-13