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2027

Partial Differential Equations (PDEs) are fundamental tools for modeling natural phenomena across the physical, biological, and social sciences, describing systems that evolve in space and time. This summer school, "Modern Perspectives on PDEs: Theory and Applications," explores classical foundations alongside the expanding frontier where PDEs intersect with data science and machine learning. The program offers a unique blend of theory and practice.

The school aims to introduce students and young researchers to several important research directions in mathematical biology, with a focus on deterministic mathematical models used to describe complex biological processes. These models play a central role in understanding phenomena such as population dynamics, epidemiology, tumor growth, and respiratory system functioning. Part of the program will focus on the mathematical modeling of biological populations using structured population dynamics and transport equations.

The VI Latin American School on Algebraic Geometry will take place at Universidad de Antioquia, Colombia from June 21st to July 2nd, 2027. This school aims to bring together graduate students, postdoctoral researchers, and young mathematicians from Latin America and beyond for an intensive program centered on some of the most active topics in contemporary Algebraic Geometry. The VI Latin American School on Algebraic Geometry (ELGA) will be held at Universidad de Antioquia, Colombia, from June 21 to July 2, 2027.

The general theme of this school lies at the intersection of geometry and dynamics, focusing on the interactions between Riemannian and Lorentzian geometries on the one hand, and dynamical systems on the other. For instance, a Lorentzian, Riemannian, or more generally semi-Riemannian metric naturally gives rise to dynamical objects such as:
• the action of its isometry and conformal groups,
• the geodesic flow (a differential equation on the tangent bundle), and
• the Ricci flow (an evolution PDE on the space of all metrics).

This school focuses on modern statistical and data science methods to analyze and understand diseases. Topics include the identification of risk factors for a disease, its prevalence and incidence, statistical analysis of historical data, and prediction of its future spread. Organized by the Institute of Applied Statistics of the University of Burundi, this CIMPA School provides both theoretical foundations and practical applications of statistical techniques.

The main theme of this CIMPA School is Topological Data Analysis (TDA), an emerging field at the intersection of topology and data science that uses tools from Algebraic Topology to understand the “shape” of data. This school will provide participants with both foundational and advanced topics in TDA, along with an introduction to its integration with Machine learning techniques. The program is designed to support participants from diverse backgrounds through a structured sequence of introductory and advanced courses.

Flavors of Representation Theory (FoRT) is a two-week workshop focused on contemporary developments in representation theory and its interactions with algebra, geometry, combinatorics, topology, and mathematical physics. The programme presents a range of themes including infinite-dimensional Lie theory, homological and categorical methods, cluster structures, combinatorial algebras, knot-theoretic connections, and representations of groups over finite and p-adic fields.

The school focuses on the progression from classical statistical inference to modern learning methods, emphasizing their interplay and applications. It aims to provide participants with a solid understanding of probability and statistics, their extension through stochastic modeling, and their role in contemporary statistical learning. The first part revisits key concepts of inference, including estimation, hypothesis testing, and regression, highlighting their limitations.

Functional Data Analysis (FDA) has become an important field in statistics, facilitating the study of data in the shape of functions, curves, and surfaces. With applications spanning biomedicine, neuroscience, climate science, and engineering, FDA offers robust methods for modeling high dimensional, spatial-temporal, and intricately structured data. While FDA is a widely recognized research field in the Global North, its presence is still limited across Africa.

<div class="tex2jax_process"> Bohol Island State University (BISU) is the only state university in the Province of Bohol, Philippines, established through Republic Act No. 9722 in 2009. With six campuses strategically located across the province, BISU offers quality programs in science, technology, education, engineering, agriculture, fisheries, business, hospitality, computing, and other professional fields.