GEOFF BENNETT: In the day's other headlines: Students at Cornell are protesting the university's handling of an alleged sexual assault at a fraternity house in 2024 and to show support for the unnamed accuser.

SAYA TAYLOR, Cornell University Student: Jane Doe deserved a campus that supported her.

Jane Doe deserved an administration that delivered a fair and proper judicial process.

GEOFF BENNETT: Hundreds gathered to hear speeches by their fellow students in what's expected to be the first of multiple protests this week.

Also today, the university had to scrub graffiti blasting the school's response off its main administration building.

A Cornell spokesperson says the vandalism is under investigation.

The case has drawn intense national scrutiny since the accuser's lawsuit came to light last month.

The seven men she's accused have denied any wrongdoing.

President Trump said today that a threat linked to Iran was the reason the U.S.

withdrew its bombers from the Fairford air base in the U.K.

On Sunday, the Pentagon rushed to move a dozen B-1 bombers back to the U.S.

The long-range warplanes have been used to strike Iran.

Today, Secretary of State Marco Rubio said it's -- quote -- "not unusual" to see such rotations of aircraft, while Vice President J.D.

Vance said the U.S.

is being extremely cautious.

J.D.

VANCE, Vice President of the United States: What you saw there is the secretary of war, out of an abundance of caution, trying to protect our guys.

We do feel with some confidence that the Iranians are -- they're trying to do what the Iranian state has done for 49 years, which is engage in acts of terrorism against the United States and against a lot of other people as well.

GEOFF BENNETT: Last week, the British prime minister also said the U.K.

believes that Iran played a part in a security incident at the air base last month.

Tehran has denied any involvement.

Government forces in Yemen say they have started a major offensive against Iran-backed Houthi militants.

They claim to have recaptured several key areas along the country's Red Sea coast, including the vital port of Mokha.

The Houthis had captured the city last month as part of an effort to control the Bab al-Mandab Strait, an alternative shipping route to the Strait of Hormuz that has been slowed by the war with Iran.

The Houthis themselves claim their own advances near the city of Taiz with strikes like this one, as fighting rages on along several fronts.

In Brazil, the presidential election is heading to a run-off after neither major candidate won the majority needed for an outright victory.

Flavio Bolsonaro outperformed most polls by winning around 47 percent of the vote, compared to the 45 percent that went for current President Luiz Inacio Lula da Silva.

Analysts say that 80-year-old Lula is facing an uphill battle against the 45-year-old Bolsonaro, who's an ally of President Trump and the son of Brazil's former right-wing leader Jair Bolsonaro.

Both candidates spoke to their supporters last night and vowed to keep fighting.

FLAVIO BOLSONARO, Brazilian Presidential Candidate (through translator): I'm very happy with the result we just saw, almost 56 million Brazilians voting for me.

I could not be more pleased to see that Brazil wants change.

That's what I take from today.

LUIZ INACIO LULA DA SILVA, Brazilian President (through translator): The result is often unexpected.

I confess to you that I was convinced I was going to win the election in the first round.

But we have the second round, and the run-off is the moment of truth.

GEOFF BENNETT: The winner of Brazil's first round of voting has never lost an election, though this result was closer than others.

The run-off will take place on October 25.

Dennis Hastert, the disgraced former House speaker who later went to prison, has died.

Hastert represented Illinois in Congress for two decades.

As the longest-serving Republican House speaker, he was essential in advancing then-President George W. Bush's legislative agenda.

After leaving office, he pleaded guilty to evading banking regulations related to hush money payments.

Prosecutors say he sexually abused teen athletes while coaching high school wrestling decades earlier.

And, in 2016, he was sentenced to 15 months in prison.

An Illinois coroner's office said Hastert died of natural causes over the weekend.

He was 84 years old.

On Wall Street today, stocks edged higher to start the week.

The Dow Jones industrial average added nearly 100 points.

The Nasdaq jumped more than 1 percent to a new record.

The S&P 500 also posted a solid game.

And the 2026 Nobel Prize in Medicine was awarded to three scientists who used light to reveal the mysteries of the brain.

Karl Deisseroth, Peter Hegemann, and Georg Nagel pioneered the field of optogenetics, a technique that uses tiny lights to activate neurons in the brain.

The Nobel Committee said the tool is ushering in a new era in neuroscience.

The practice is already being used to develop possible treatments for conditions like blindness, addiction, and dementia.

Deisseroth said his work could lead to both scientific and clinical breakthroughs.

KARL DEISSEROTH, Winner, Nobel Prize in Medicine: I care about the hope that this brings, but I'm also basic scientists, and I care about understanding this amazing organ, the brain and how it works and how it integrates and computes and delivers all the things that make us human.

GEOFF BENNETT: Today's award kicks off a week of Nobel Prize announcements.

The prize in physics will be given out tomorrow.

Still to come on the "News Hour": a Marine's arrest for murder in Japan fuels an ongoing debate over the U.S.

military presence there; Tamara Keith and Amy Walter weigh in on the latest political headlines; and a new biography traces the first American pope's journey from Chicago to the Vatican.