compilation error: identifier expected

You have not defined a method around your code.

import java.io.*;

public class details
{
    public static void main( String[] args )
    {
        BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
        System.out.println("What is your name?");
        String name = in.readLine(); ;
        System.out.println("Hello " + name);
    }
}

In this case, I have assumed that you want your code to be executed in the main method of the class. It is, of course, possible that this code goes in any other method.