Good morning.

Here’s what you need to know:

President Trump and Prime Minister Narendra Modi of India met at the White House. It was the first meeting of the two, both media-savvy political outsiders who swept to power on promises of resurrecting their national economies.

Their discussions are expected to cover military cooperation and armament deals, Mr. Trump’s attempts to tighten immigration and visa requirements, and his criticism of India as making unfair gains from the Paris climate accord.

We looked at the high hopes for the U.S.-India relationship among some of the roughly three million Americans of Indian descent.

_____

The U.S. Supreme Court agreed to rule on the legality of President Trump’s revised travel ban, setting arguments for October in a case that will shape presidential power.

The court also allowed the ban to go into effect for people from Iran, Libya, Somalia, Sudan, Syria and Yemen who do not already have ties to the U.S.

Here are the basics.

Mr. Trump hailed “a clear victory for our national security.”

_____

South Korea is offering the U.S. reassurances on North Korea ahead of President Moon Jae-in’s visit to the White House on Thursday and Friday.

The country’s foreign minister indicated that Seoul would honor an agreement to deploy the American Thaad missile-defense system despite public protests, above, and economic retaliation from China.

She also said the government would not hurry to try to reopen a jointly run industrial complex in the North Korean city of Kaesong, a conduit for hard currency for the North.

_____

A New York Times correspondent, above, who has covered race in the U.S. traveled through Australia’s indigenous communities and encountered young people defying stereotypes and the painful legacy of colonization with outrage, resignation and courage.

A 60-minute documentary based on his travels, part of the Australian Broadcasting Corporation’s “Foreign Correspondent” series, will air today and online.

And check out The Breakdown, conversation starters and context drawn from Australia news. Catch up on David Petraeus’s views on Australian might, the Great Barrier Reef’s estimated value and Russell Crowe’s battle with gossip weeklies.

_____

Climate conundrum: The amount of carbon dioxide humans are pumping into the air seems to have stabilized — but data gathered at the world’s monitoring stations, like the one above in Tasmania, show that excess carbon dioxide is still on the rise

One troubling possibility: The world’s natural sponges for the greenhouse gas, like the ocean, are no longer able to keep up.

Business

• India’s tech workers face the possibility that automation, robotics and other technologies will prompt their industry, valued at $150 billion a year, to shed jobs en masse.

A court in Shanghai sentenced three Australian and 13 other employees of Crown Resorts to prison terms for illegally promoting gambling. The case is seen as Beijing’s warning to foreign gambling operators.

• What’s next for Takata? We look at the far-reaching consequences of the bankruptcy declaration by the airbag maker at the center of world’s largest auto safety recall.

• European Union officials are expected to issue a record fine of at least $1.2 billion against Google for breaking the region’s competition rules.

• Best Inc, the Chinese delivery firm backed by Alibaba, filed for an initial public offering on Wall Street, with an initial target of $750 million.

• Most U.S. stocks were higher. Here’s a snapshot of global markets.

In the News

• Liu Xiaobo, the jailed Chinese activist who won the 2010 Nobel Peace Prize, received a medical parole to be treated for late-stage cancer, and supporters called for his wife, Liu Xia, to be freed from house arrest and allowed to visit him. [The New York Times]

• Pakistan’s prime minister cut short a private visit to London and promised to “get to the bottom” of the fuel tanker inferno in Punjab Province that killed at least 153 people. [The New York Times]

• In southwest China, a month-old infant whose crying woke his parents is credited with their miraculous survival in a landslide that appears to have claimed the rest of their village. [Caixin]

• Flashback: In 1973, Chan Hak-chi and his wife swam six hours through a typhoon and shark-infested waters to reach Hong Kong and escape China’s Cultural Revolution. [Sixth Tone]

Smarter Living

Tips, both new and old, for a more fulfilling life.

• Give biking to work a try. Start with our guide.

• If you find yourself nodding off at your desk today, go ahead and take a nap. It’ll do wonders for your productivity.

• Recipe of the day: A cucumber and yogurt salad — sprinkled with dill and sour cherries — is a wonderful complement to a hearty main dish.

Noteworthy

• Australian odyssey: Our reporter went out on a lonely highway on a mission to save joeys — baby kangaroos — whose mothers ended up as roadkill. She also found a makeshift orphanage that takes in about 100 baby roos a year.

New Zealand is celebrating after a crew of young newcomers finished off a surprisingly lopsided 7-1 victory over their U.S. rivals to reclaim the America’s Cup after a 14-year wait.

• K-pop’s effervescent universe was on full volume at KCON, an annual concert festival in New Jersey devoted to up-close and giggly interaction with fans (( “hi-touch,” in the lingo of the genre).

• The Times has set up a forum for our journalists to speak directly to you about our coverage. Today, they explain why some important news stories run in feature sections and discuss the challenges in making our coverage more global in perspective.

Back Story

Today is Seven Sleepers’ Day, which both celebrates an ancient legend and supposedly predicts the weather in the German-speaking parts of Europe.

The legend, which features in both Christian and Islamic tradition, stretches back centuries. It involves a group of seven youths who escaped religious persecution by hiding in a cave, where they slept for hundreds of years before awakening.

More practically speaking, the day’s weather is thought to foretell conditions for the rest of the summer, similar to the way Groundhog Day predicts the arrival of spring in the U.S.

Above, a hiker on Herzogstand Mountain in southern Germany.

According to one saying, “ist der Siebenschläfer nass, regnet’s ohne Unterlass,” or “if Seven Sleepers is wet, it rains unceasingly.” More precisely, if it rains on June 27, it will pour for seven weeks.

The day’s predictive power is helped, as Germany’s weather service explains, by the jet stream, which stabilizes around this time, providing, with some variation, a consistent forecast.

(Confusing matters, the day’s name in German is Siebenschläfertag, which is nearly identical but unrelated to Siebenschläfer, the word for a type of dormouse common in Europe that hibernates for about seven months.)

Palko Karasz contributed reporting.

_____

This briefing was prepared for the Australian morning. We also have briefings timed for the Asian, European and American mornings. You can sign up for these and other Times newsletters here.

Your Morning Briefing is published weekday mornings and updated online.

What would you like to see here? Contact us at asiabriefing@nytimes.com.