Washington has drawn a lot of attention since the financial industry continues to shrink. About 400 unemployed finance professionals have signed up to attend a New York job fair this month that features nine federal agencies, including the Federal Deposit Insurance Corp., the FBI and the Securities and Exchange Commission. The job-seekers are among 23,300 people who lost industry work in New York in the year through February as banks worldwide announced almost $870 billion in losses and write-downs.