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This is the world in brief from The Economist.

Our top stories.

Kim Jong-un, North Korea's leader, arrived in Beijing to attend a military parade on Wednesday

during victory over Japan Day celebrations. China wants to show off

its new weapons to world leaders. Russia's president, Vladimir Putin, who is also attending,

said that he had reached, quote, understandings with Donald Trump in Alaska last month on

ending the war in Ukraine but did not

confirm peace talks. A federal judge in Washington, D.C., ordered Google to share some data with

rivals and stopped paying for exclusive distribution deals. But he declined to force the search giant to break itself up. The Justice

Department had sought, for example, the sale of its Chrome browser. Last year, the judge,

Amit Meta, ruled that Google's search business was an illegal monopoly. The Trump administration illegally deployed the National Guard to carry out domestic law enforcement,

a federal judge in California ruled.

About 300 National Guard remain in Los Angeles,

nearly three months after 4,000 National Guard and 700 Marines were ordered to quell protests against immigration raids.

The ruling directs the troops to limit their work to tasks such as patrolling federal buildings.

Aftershocks hit Afghanistan days after a big earthquake killed more than 1,400 people in the

country's southeast. At least 3,000 people have been injured and thousands of houses destroyed

...