From resonant scattering to tectonics: recent advances in exactly solvable models and their applications

The conference will focus on recent results in the area of solvable models given by boundary value problems for partial differential equations. These have been central to the research project CF 2019 304005 "The evolution of active zones in tectonic plates: a mathematical approach based on low-frequency flexural vibrations". The conference will bring together researchers working in the field and on related topics both in the CUWB community and in other institutions, aimed at consolidating the ongoing collaborations and generating new connections. Solvable models are useful in the analysis of complex settings that are difficult to treat directly. However, they also involve simplifications that require their validation against the realistic setting they represent, which necessitates putting them to a fitting test. In the case of seismo-gravitational oscillations, the signal from gravimetric stations play an important role in this test. There are plans for experts in gravimetry to present talks and interact with the mathematical community.

Frontiers in statistics and probability

This workshop will focus on the interface between statistics and applied probability at the forefront of current research, including statistical inference for stochastic processes, applications of Markov chains, and Monte Carlo simulation among other things.

Differential and difference equations in models of physics and biology

The objective of the workshop is to explore the possibilities for collaboration between the CUWB mathematical community and the staff of the Institute of Marine Sciences and Limnology. It is planned that researchers of the Institute interact with mathematicians so that open questions in marine sciences can be formulated in mathematical language so that they can be addressed in multidisciplinary projects.

CUWB Probability-on-Sea

We open the first CUWB probability workshop integrating the University of Warwick probability group as well as new arrivals into Mexican probability since COVID. A diverse range of themes from probability will be delivered and the event will be hosted at Playa Del Carmen in the Yucatan peninsula, close to Cancun.

Recent progress in quantitative analysis of multiscale media

The meeting will focus on recent progress in analytical techniques for the analysis of composite media, where the presence of a contrast in either geometric or material features of the problem leads to "non-classical" effective descriptions. In particular the meeting will feature a discussion of the behaviour of fluid-solid structures, where one additionally faces a change in the momentum balance equations as well as the interface conditions between different components within the composite.

BUC Probability is Back! (CIMAT)

This meeting will take place at CIMAT, in Guanajuato, from the 16th to the 20th of January 2023. The focus will be on common interests between researchers in the BUC communit. The meeting consists of three graduate minicourses, some talks by researchers from Latin America and Europe, as well as shorter talks by students from all participating countries.

Explicitly solvable models and their applications to current challenges in mechanics and wave propagation

The meeting focuses on modelling the behaviour of highly heterogeneous media using "explicitly solvable" formulations. The related approximation error and the implications of such formulations on spectral properties and wave propagation will span the range of the discussion topics.

Threshold phenomena in spectral analysis and their applications to waves and tectonics (UMAR & IIMAS-UNAM)

The event consist of two parts: the school in UMAR, Huatulco on 12-15 July 2022 and the workshop in IIMAS, UNAM, Mexico City on 18-22 July 2022. The meeting will focus on new mathematical approaches to the threshold phenomena in spectral analysis and scattering theory, as well as their applications to wave propagation. These include the behaviour under perturbations of eigenvalues embedded in continuous spectra of operators, homogenisation of differential equations with periodic coefficients (describing composite media with moderate as well as high contrast between components), and the spectral analysis of thin and laminated structures. Throughout the workshop, analytical techniques will be discussed in the context of modelling seismic phenomena, through the analysis of tectonic plate motion in the vicinity of contact discontinuities and its effect on the displacement of the earth's surface.