En este episodio de El Alargue analizamos la segunda jornada del grupo B en cuadrangulares y hablamos de la convocatoria de la Selección Colombia.

En este programa analizamos la llegada de Hernán Darío Gómez al Atlético Bucaramanga. También dialogamos con el presidente del equipo santandereano.

En este episodio de El Alargue hablamos sobre la Selección Colombia Sub-20, las críticas entorno a Ricardo Caraballo y lo que se viene en el Sudamericano. Así mismo entrevistamos a Gustavo Poyet y Nelson Ramos.

Independiente Medellín es el primer finalista que disputará el título en de la Liga Colombiana 2023-II. Aseguraron su pase anticipado luego de golear 0-5 a Atlético Nacional, con tantos de Edwuin Cetré, Luciano Pons, Diego Moreno y doblete de Brayan León, que dejaron sin opciones al equipo de Jhon Bodmer.

Jefferson Mena, autor del gol de la victoria del Bucaramanga ante Jaguares, se mostró esperanzado en los resultados que pueda tener el equipo durante este campeonato. El jugador de 34 años sueña en poder alcanzar el primer título de Liga para los santandereanos.

En PRIMICIA para 6AM, habló por primera vez desde su salida el exdirector de la Unidad Nacional de Gestión del Riesgo, y aseguró que le dará la cara a la justicia.

Varios profesores le respondieron a las afirmaciones que realizó en 6AM, Alejandro Cheyne, el rector de la Universidad del Rosario y en las que reiteró que no piensa en renunciar.

En Caracol Radio estuvo Henry Bello, comandante de la Policía Metropolitana de Bucaramanga

Eduardo Méndez, presidente de Independiente Santa Fe, aseguró, en diálogo con 6AM Hoy por Hoy de Caracol Radio, que, de permitirse el ingreso a la hincha del Atlético Bucaramanga en el juego de este sábado en El Campín por la gran final del fútbol colombiano, ellos deberán pagar el valor de la boleta más costosa, siendo recíprocos con lo que vivió la afición bogotana en el estadio Alfonso López.

Jaime Beltrán insistió en que si hay acuerdos establecidos entre los equipos sobre el ingreso de la hinchada visitante y pidió que estos se respeten.

Jaime Andrés Beltrán, mandatario de la capital santandereana, compartió en 6AM cuáles serán las estrategias que se adoptarán durante la final del Fútbol Profesional Colombiano

Jaime Elías Quintero, presidente del Atlético Bucaramanga, dialogó con 6AM Hoy por Hoy de Caracol Radio tras el histórico título conseguido por su equipo. Quintero ratificó la continuidad de Rafael Dudamel y habló sobre el futuro de algunas de sus figuras.

Ordoñez se ha hecho famoso en redes sociales por sus apuntes cómicos sobre esta histórica final en la que el Atlético de Bucaramanga derrotó en penales a Santa Fe. 

Sebastián Luna, hincha del Atlético Bucaramanga, le pidió perdón en 6AM al jugador profesional Carlos Henao por el hurto de su medalla de campeón de la liga colombiana de fútbol

Mariana Castañeda compartió algunos recuerdos en 6AM de su padre, el reconocido productor de Caracol Radio que trabajó de la mano de históricos como Yamid Amat y Darío Arizmendi

El coleccionista de historietas falleció a sus 81 años y durante más de 60 años estuvo en la administración de la Librería Nacional

En 6AM Hoy por Hoy de Caracol Radio estuvo alias Andrey Avendaño, uno de los negociadores de las disidencias del Estado Mayor Central de las FARC, para hablar sobre cuál es la posición de los integrantes de la mesa respecto al uso de camionetas de la UNP para disidentes que no hacen parte del proceso de paz.

Jaime Andrés Beltrán, alcalde de Bucaramanga, anunció que serán trasladados 250 detenidos en estaciones de policía a cárceles del área metropolitana.

En 6AM Hoy por Hoy de Caracol Radio estuvo Luis Guillermo Vélez, exsuperintendente de Sociedades, para hablar sobre cómo impactará la publicación de la actividad contractual en el SECOP de la UNGRD y Fiduprevisora.

En 6AM Hoy por Hoy de Caracol Radio estuvo el alcalde de Bucaramanga, Jaime Andrés Beltrán, para hablar sobre una alianza delictiva que habría para asesinar al mandatario de la ciudad.

En 6 AM Hoy por Hoy, se conectó el Dr, Luis Eduardo Cavelier, gerente general de la Clínica de Marly, quien habló sobre lo qué ha logrado la Clínica de Marly tras sus 120 años de prestar servicios de salud.

Jaime Andrés Beltrán, alcalde de Bucaramanga, habló con preocupación de la libertad y del nombramiento de uno de los cabecillas más temidos en esa ciudad

Néstor Álvarez, presidente de la Asociación de Pacientes de Alto Costo, habló sobre cuál ha sido la respuesta del Gobierno y ministros ante el desabastecimiento de medicamentos 

Two days after polls closed, the campaigns for Yadira Caraveo and Gabe Evans were waiting Thursday to see if new ballot totals posted by election officials would sway the race in a more definitive direction.

The 8th Congressional District sweeps across Denver's northern suburbs and covers rural sections of Adams and Weld counties as well, along with a small slice of Larimer County.

State Rep. Gabe Evans’ lead over U.S. Rep. Yadira Caraveo shrank between Friday evening and Saturday afternoon, from 2,529 votes to 1,995.

Evans won 48.98% of the final count with 162,022 votes compared to Caraveo’s 159,426 votes, or 48.19% of the final count, according to the Colorado Secretary of State’s Office.

As U.S. Rep. Yadira Caraveo emphasizes abortion rights in her reelection race in Colorado's battleground 8th Congressional District, she's moved the right on immigration -- angering some allies -- while facing fierce attacks from supporters of Republican challenger Gabe Evans.

He also has a diamond-encrusted cross on one tooth!

Three equestrians are heading to Guadeloupe to compete in the 2024 Grand Caraibe Jumping Championship beginning May 8th – 12th, with Kimoy Cruickshank, Sierra Wolfe, and Emma Kempe set to represent Bermuda. The Grand Caraibe comprises 4 competitions held during the 2023/2024 season. Although Bermuda did not have representation at the first competition held in French Guyana […]

At the 2024 Grand Caraibes Jumping Championship in Guadeloupe, Bermudian equestrians Sierra Wolffe, Kimoy Cruickshank, and Emma Kempe competed, with Wolffe winning the Elite category, Cruickshank tying for third in the Grand Prix division, and Kempe placing 12th overall in the Espoir category. A spokesperson said, “Accompanied by Heidi Shelley Mello and Raishun Burch, Bermuda […]

Five Bermudian equestrians are set to participate in the Grand Caraibe International horse jumping competition scheduled for November 22nd and 24th in Suriname. The team will consist of Raishun Burch, Kayla Bardgett, Sierra Wolffe, Emma Kempe, and Kimoy Cruickshank. Cruickshank returns for his second appearance in the Grand Caraibe International, while Burch, Cruickshank, and Bardgett […]

In This Episode Erin and Weer’d discuss: Gov. Maura Healey signing the emergency preamble to the new Massachusetts gun law, and its details are insane; SCOTUS hearing a case on “Ghost Guns” in Garland v. VanDerStok; 2023’s FBI Crime Statistics,  and … Continue reading →

Ana Caraiani, Royal Society University Research Fellow and professor of pure mathematics, Imperial College London, has been awarded the 2025 Ruth Lyttle Satter Prize in Mathematics by the American Mathematical Society (AMS). She has been honored for contributions to arithmetic geometry and number theory: in particular, the Langlands program.

From the citation

Ana Caraiani’s work is characterized by a combination of novel ideas and a fearlessness in the face of technical obstacles that would daunt almost any other researcher. This has enabled her to prove several fundamental theorems in the Langlands program.

In the joint paper with Scholze, titled “On the generic part of the cohomology of non-compact unitary Shimura varieties” (Annals of Math., 2024), Caraiani proved very general results about the torsion cohomology classes in non-compact Shimura varieties, strengthening the early results in their 2017 paper in the compact case. The proof is a tour de force, combining perfectoid spaces, a mastery of the trace formula, and a new theory of perverse sheaves in p-adic geometry. These results are of intrinsic interest (for example, they give the first indications of a characteristic p version of Arthur’s conjectures), but they also have many applications throughout the Langlands program. One spectacular application of these results is in her joint paper, “Potential automorphy over CM fields” (with Allen, Calegari, Gee, Helm, Le Hung, Newton, Scholze, Taylor, and Thorne, Annals of Math., 2023), which among other results proves the Ramanujan conjecture for Bianchi modular forms, a problem that had been thought of as being completely out of reach.

The Ramanujan conjecture is of analytic nature, asserting a bound on the eigenvalue of a certain differential operator, but the only way in which cases of it have been proved is via algebraic geometry. In particular, the original Ramanujan conjecture for modular forms was proved by Deligne in the 1970s, as a consequence of his proof of the Weil conjectures. However, in the case of Bianchi modular forms there is no direct relationship with algebraic geometry, and it seems to be impossible to make any direct deductions from the Weil conjectures. Langlands (also in the 1970s) suggested a strategy for proving the Ramanujan conjecture as a consequence of his functoriality conjecture. Caraiani and her coauthors’ proof of the Ramanujan conjecture for Bianchi modular forms proceeds via a variant of Langlands’ strategy, and in particular does not use the Weil conjectures.

Most recently with James Newton, in the paper “On the modularity of elliptic curves over imaginary quadratic fields” (arXiv: 2301.10509), Caraiani has improved upon these results and applied them to the modularity of elliptic curves over imaginary quadratic fields. They come close to completely solving it, with only a small number of exceptions (which constitute 0% of cases).

Response of Ana Caraiani

First, I would like to thank Joan Birman and the AMS for establishing an award that recognizes research contributions by women mathematicians. This is particularly meaningful to me because I looked to many of the previous recipients of the Satter Prize for inspiration at challenging moments in my career. It is a great honour to be selected as a recipient!

I am indebted to my many collaborators, mentors and colleagues who have generously shared their mathematical ideas with me over the years and supported me in different but crucial ways. Special thanks go to Peter Scholze for the wonderful opportunity to collaborate with him on understanding a part of the geometry and cohomology of Shimura varieties, to Richard Taylor for initiating the "ten author" collaboration, which was much more successful than we had originally expected, and to James Newton for our joyful exploration of elliptic curves over imaginary quadratic fields. I also particularly want to acknowledge Jessica Fintzen and Toby Gee for their longstanding friendship and moral support.

Finally, I want to thank my family, especially my husband, Steven, my mother, Zoe, and my daughter, Nadia.

Biographical sketch of Ana Caraiani

Ana Caraiani was born in Bucharest, Romania, in 1984. She received a bachelor's degree in mathematics from Princeton University in 2007 and completed her PhD at Harvard University in 2012. After temporary positions at the University of Chicago, Princeton and the Institute for Advanced Study (IAS), and the University of Bonn, she moved to Imperial College London in 2017, where she is currently a Royal Society University Research Fellow and Professor of Pure Mathematics. She is a Fellow of the AMS, a recipient of an EMS Prize and a New Horizons Prize in Mathematics and was an invited speaker at the 2022 ICM. 

About the prize

Awarded every two years, the Ruth Lyttle Satter Prize in Mathematics recognizes an outstanding contribution to mathematics research by a woman in the previous six years. The prize was established by Joan Birman in honor of her sister, Ruth. The 2025 prize will be recognized during the 2025 Joint Mathematics Meetings in January in Seattle.

Read more and see the list of past recipients.

Contact: AMS Communications

* * * * *

The American Mathematical Society is dedicated to advancing research and connecting the diverse global mathematical community through our publications, meetings and conferences, MathSciNet, professional services, advocacy, and awareness programs.

A caravan of approximately 3,000 migrants set off on Tuesday from southern Mexico, headed toward the United States on the day when U.S. voters were deciding between U.S. presidential candidates Kamala Harris and Donald Trump. Immigration has been a key issue in the U.S. election campaign. Before heading northward, the migrants gathered in Tapachula, the capital of the southern Chiapas state, carrying banners with messages such as "NO MORE MIGRANT BLOOD" and images of the Virgin of Guadalupe, an important religious and cultural symbol in Mexico, according to Reuters witnesses. "We want U.S. authorities to see us, to see that we are people who want to work, not to harm anyone," said Honduran migrant Roy Murillo, who joined the caravan with his two children and his pregnant wife. In recent years, several caravans with people hoping to enter the United States have attempted to reach the U.S.-Mexican border, traveling in mass groups for safety. Most have dispersed along the way. "I'm afraid to travel alone with my family. Here, the cartels either kidnap you or kill you. ... That's why we're coming in the caravan," Murillo said. Murillo recounted his unsuccessful attempts to secure an asylum appointment through a mobile app developed by the U.S. Customs and Border Protection agency. Tapachula, a mandatory crossing point for tens of thousands of migrants, has become one of Mexico's most violent cities in recent months, with migrants frequently targeted by organized crime, according to official data. "I feel suffocated here. That's why we decided to leave," said 28-year-old Venezuelan migrant Thais, who spoke on condition that her surname not be used due to safety concerns. She joined the caravan with her husband and 3-year-old daughter. "I wish Mr. Trump and Ms. Kamala would see that we are human beings, that we want to live and support our families," she added. Voters cast ballots on Tuesday in the race between Vice President Harris, a Democrat seeking to become the first female U.S. president, and Trump, a Republican immigration hard-liner aiming to regain the presidency.

to wire a caravan towing socket

The Associated Press has declared a winner in Colorado's 8th Congressional District which has been one of the most closely watched races in the country.

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